A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 ft.
hl
Which equation gives the volume of the sphere?
V-011)
2

Answers

Answer 1

Answer:

length times width times height

Step-by-step explanation:

Answer 2

The equation for the volume of the sphere is:

V(sphere) = (4/3)πr³

What is a cylinder?

A cylinder is a 3-D figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume.

= 3.14 x 2 x 2 x 5

= 62.8 cm³

here,

We have,

If a sphere and a cylinder have the same radius and height, the volume of the cylinder is given by:

V(cylinder) = πr²h

where "r" is the radius of the cylinder, and "h" is the height of the cylinder.

If we know that the volume of the cylinder is 11 ft³, then we can write:

11 = πr²h

We can solve this equation for "h" to get:

h = 11 / (πr²)

Now, the volume of a sphere with radius "r" is given by:

V(sphere) = (4/3)πr³

Substituting the expression for "h" in terms of "r" into the volume formula for the cylinder, we get:

11 = πr²(11 / (πr²))

Simplifying this equation, we get:

11 = 11

This is an identity, which means that it is true for all values of "r".

Therefore, we can substitute any value of "r" into the formula for the volume of the sphere to get the volume of the sphere with the same radius as the cylinder.

Using the formula for the volume of a sphere, we get:

V(sphere) = (4/3)πr³

Thus,

The equation for the volume of the sphere is:

V(sphere) = (4/3)πr³

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Related Questions

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket. How much money did each boy have left after buying his ticket? Write and solve an equation that represents he situatio.

Answers

Answer:

x = (40/4)-7.50

x= (10)-7.50

x = 2.50

Step-by-step explanation:

each boy had 2.50 left after the movie because miguel went with 3 other boys, which makes four of them all together. If they had forty dollars all together and all had the same amount of money, you can determine that amount by dividing forty(total money) by 4(number of boys). Which gets you to the answer of ten dollars each. Then you subtract the ticket cost(7.50) from 10 dollars, which gets you to 2.50 left over.

What is the number of terms in this expression?
+4.6
Enter your answer in the box.

Answers

Answer:

joe mama

Step-by-step explanation:

help a girl out plz!! im confused

Answers

Answer:

30

Step-by-step explanation:

distribute the 5 to z and 4 --> 5z + 20

same with 5 to the 2 and -z --> 10-5z

5z + 20 + 10 - 5z = ? combind like terms

the z cancle out leaving 20 + 10 = ?

Answer:

20z-10z

Step-by-step explanation:

Distribute the 5 to both z and 4 which would make it 20z

Distribute the 5 to the 2 and -z which gives you 10z

Put them together and you get the answer

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Scarlett sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 236 visitors purchased no costume. 202 visitors purchased exactly one costume. 40 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no more than one costume as a fraction in simplest form.

Answers

Answer:

The probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].

Step-by-step explanation:

The data for a single day is s follows:

236 visitors purchased no costume. 202 visitors purchased exactly one costume. 40 visitors purchased more than one costume.

The total number of customers is, N = 236 + 202 + 40 = 478.

Let X denote the number of costumes purchased by the next person.

Compute the probability that the next person will purchase no more than one costume as follows:

[tex]P (X\leq 1)=1-P(X>1)[/tex]

               [tex]=1-\frac{40}{478}\\\\=\frac{478-40}{478}\\\\=\frac{438}{478}\\\\=\frac{219}{239}[/tex]

Thus, the probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].

Please help brainiest will give you!

Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3

Answers

The correct answer is B

Stuck on my Trigonometry homework :(

Answers

Step-by-step explanation:

sin 23°/6cm = sin A/13cm

(sin 23°/6cm)×13cm= sin A

A= 60.35

I wish this will answer u, n im sorry if im wrong

Answer:

I think A= 60.35

Step-by-step explanation:

Hope this helped have an amazing day!

HELP ME PLEASE
Mr. Parke made snacks in separate gift bags. He gave one each to the 86 seventh grade students going on the field trip. Then he gave 17 bags to the students in Mrs. Mark's class for decorating the trophy cases. Next he gave 11 to the students in Mrs. Green's class for helping during the school play. Mr. Parke had 11 snacks left. How many snacks did he make?

Answers

Answer:

125 snacks

Step-by-step explanation:

just add every number

Answer:

125

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A basketball uniform costs $!6 for the shirt and $13 for the shorts. If the coach needs to buy uniforms for 9 players, use the distributive property

(show work)

Answers

Answer:

$171

Step-by-step explanation:

(6+13)x9=

19x9=

171

Answer:

The answer is X=171

Step-by-step explanation:

9(6+13)=X

you use the distributive property

9x6+9x13=X

then you do

9x6 which is 54

54+9x13=X

then you do 9x13 which is 117

54+117=X

then you add it which equals 171

X=171

PLSSS HELPPPPPP I WILL MARK BRAINLIEST!!!!!!!

THIS IS A solve multistep inequalities PROBLEM

Answers

Answer:

y<1

Step-by-step explanation:

-8y+3>-5

-8y>-8

y<1

For every | | cats in the pet store, there are | | dogs.




Help plss

Answers

For every single cat there is four dogs

Answer:

for every one cat there are 4 dogs

Step-by-step explanation:

11 : 44

11÷1 : 44÷11

1 : 4

what is 7w when w means 2?​

Answers

Answer:

14

Step-by-step explanation:

we know that w and 2 are the same here, so substitute w with 2: 7(2)

this means 7 times 2, and that is 14

Answer:

14

Step-by-step explanation:

If w=2

Plug in 7(2)... Multiply then you would have 14.

Ava says that 100
12 is equivalent to 2 (52 – 6). Is this true or false?
O True
False

Answers

Answer:

False

Step-by-step explanation:

Assuming that the first equation is 10x - 12, you need to solve both equations in order to see if the equations are equivalent from each other.

[tex]10x-12[/tex]

[tex]10x-12=2(5x-6)[/tex]

[tex]=2(5x-6)[/tex]

Then...

[tex]2\times(52-6)[/tex]

Use Order of Operations...

[tex]52-6=46[/tex]

[tex]2\times46=92[/tex]

[tex]2(5x-6)<96[/tex]

Therefore "false" or the second option is your answer.

Hope this helps.

Which of the expressions below has a 1 in the thousandths place of the sum? Select all that apply. A) 32.474 + 16.577 B) 23.452 + 31.561 C) 19.213 + 4.578 D) 8.128 + 9.192

Answers

Answer:

A) 32.474 + 16.577

     = 49.051

C) 19.213 + 4.578

     = 23.791

Step-by-step explanation:

Place value may be defined as the positional system of a notation where the position of any number with reference to the decimal point determines the value of that number.

A) 32.474 + 16.577

     = 49.051

B) 23.452 + 31.561

   = 55.013

C) 19.213 + 4.578

     = 23.791

D) 8.128 + 9.192

   = 17.32

We have to find the expression which contains 1 in the thousandths place in the sum.

We know after the decimal point, the place value are designated as tenths, hundredths, thousandths, and so on.

Therefore, A). 49.051 and C). 23.791 has a place value of 1 in its thousandths place.

Pleaseeeee answer !!!!!!!!!! What is the triangle ?! Will
Mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

Isosceles Obtuse

Step-by-step explanation:

one angle is greater than 90 degrees makes it obtuse

two sides are same so isoscleles

pls give brainliest

please help! which sentence explains why the moon can be seen from the earth at night?
here are the options to choose from

Answers

Answer:

a

Step-by-step explanation:

Answer:

A - The Moon reflects light from the Sun.

Step-by-step explanation:

As the moon moves around the sun in a one month cycle, different parts of it are exposed to the sun. When it is exposed to the light from the Sun it is reflected and people on Earth could see it at night, and sometimes during the day as well.

Solve the inequality.

8+k≤−3
The solution is
.

Answers

Answer:  k [tex]\leq[/tex] -11

Step-by-step explanation:

8 + k [tex]\leq[/tex]  -3  Subtract 8 from both sides

-8            -8

   k [tex]\leq[/tex] -11

The solution to the given inequality 8 + k ≤ -3 is k ≤ -11 which represents all values of k that are less than or equal to -11.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The given inequality is given in the question:

8 + k ≤ -3

To solve the inequality 8 + k ≤ -3, you can start by subtracting 8 from both sides to isolate the variable:

k ≤ -3 - 8

k ≤ -11

The solution to this inequality is all values of k that are less than or equal to -11. This includes all negative numbers less than or equal to -11, as well as -11 itself.

Therefore, the solution to the given inequality is k ≤ -11.

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[tex] \frac{ - 2 + 3 \times 6} 5[/tex]
I need help please ​

Answers

-2 + 3 x 6

-2 + 18

16

16/5 or 3.2

Answer:

Step-by-step explanation:

we do first the multiplication 3*6=18

-2+18=16

16/5 is your answer or 3.2

Which description of a figure and it’s image match the transformation described by (x,y) (x, 3y)

Answers

Answer: the figure and it’s image are similar and the image has been translated 3 units up.

Step-by-step explanation:

True or false please help due in a couple of minutes!!!!

Answers

I’m pretty sure it’s false I could be wrong though

Answer:

false

the shape is different

w/4 + 12.5 - 7z what term has a coefficient


Pls help me.

Answers

w/4 and 7z both have coefficients

This expression contains 3 terms.

7z is the term with a coefficient.

12.5 is the constant term in the expression.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, w/4 + 12.5 - 7z.

There are 3 terms in this expression.

The term that has a coefficient is 7z.

The constant term in the expression is 12.5.

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Reba works at a starbucks coffee shop where a 120z cup of coffee costs $1.65, a 160z cup costs $1.85, and a 20oz cup cost $1.95. During one busy period, Reba served 55 cups of coffee, emptying six 1440z brewers while collecting a total of $99.65. How many cups of each size did reba fill?

Answers

Answer:

Cups of 120oz sold = 17

Cups of 160oz sold = 25

Cups of 200oz sold = 13

Step-by-step explanation:

We know that:

a 120z cup of coffee costs $1.65

a 160z cup costs $1.85

a 200oz cup cost $1.95

Let's define the variables:

A = # of 120z cups that she sold

B = # of 160oz cups that she sold

C  = # of 200oz cups that she sold.

We know that:

"Reba served 55 cups of coffee"

A + B + C = 55.

"emptying six 1440z brewers while"

A*120oz + B*160oz + C*200oz = 6*1440oz

"collecting a total of $99.65"

A*$1.65 + B*$1.85 + C*$1.95 = $99.65

Then we have a system of equations:

A + B + C = 55

A*120oz + B*160oz + C*200oz = 6*1440oz

A*$1.65 + B*$1.85 + C*$1.95 = $99.65

To solve this, the first step is to isolate one of the variables in one of the equations, let's isolate A in the first one:

A = 55 - B - C

Now we can replace that into the other two equations:

(55 - B - C)*120oz + B*160oz + C*200oz = 6*1440oz

(55 - B - C)*$1.65 + B*$1.85 + C*$1.95 = $99.65

Now we can rewrite those equations as:

B*40oz + C*80oz = 8640oz - 55*120oz  = 2040oz

B*$0.20 + C*$0.30 = $99.65 - 55*$1.65 = $8.90

Now we have the system:

B*40oz + C*80oz = 2040oz

B*$0.20 + C*$0.30 = $8.90

Now we need to isolate another variable in one of the equations, let's isolate B in the first one:

B = 2040oz/40oz - C*80oz/40oz = 51 - 2*C

Now we can replace this in the other equation and get:

(51 - 2*C)*$0.20 + C*$0.30 = $8.90

Bow we can solve this for C.

$10.20 - C*$0.40 + C*$0.30 = $8.90

$10.20 - $8.90 = C*$0.10

$1.30 = C*$0.10

($1.30/$0.10) = C = 13

Now we can replace this in the equation:

B = 51 - 2*C = 51 - 2*13 = 25

And for A, we had:

A = 55 - B - C = 55 - 25 - 13 = 17

Then:

Cups of 120oz sold = 17

Cups of 160oz sold = 25

Cups of 200oz sold = 13


What is the value of 3-(-2)
A.-5
B.-1
C.1
D.5

Answers

Answer:

5

Step-by-step explanation:

3-(-2)=5

Two negatives are a positive. So 3-(-2)=3+2. And 3+2 is 5.

Answer:

0

Step-by-step explanation:

-5 + -1 = -6

5 + 1 = 6

-6- 6 = 0

whats the y intercept in x + y = –3

Answers

Answer:

the y-intercept is -3

Step-by-step explanation:

x+y=3

-x      -x

y=-x-3

b=-3

Answer: Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

y-intercept = -3/1 = -3.00000

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x+y-(-3)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve x+y+3 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+y+3 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

y-intercept = -3/1 = -3.00000

Calculate the X-Intercept :

When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

x-intercept = -3/1 = -3.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -2.000/2.000 = -1.000

Geometric figure: Straight Line

Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

y-intercept = -3/1 = -3.00000

1, 3, 2, 2, 1, 3, 3, 1 What is the mean absolute deviation

Answers

Answer:

6

Step-by-step explanation:

Given the data:

1, 3, 2, 2, 1, 3, 3, 1

The mean absolute deviation :

Sum of (1, 3, 2, 2, 1, 3, 3, 1) = 16

Mean = 16 / 8 = 2

Mean absolute deviation :

|1 - 2|+ |3 - 2| + |2 - 2| + |2 - 2| + |1 - 2| +|3 - 2| + |3 - 2| + |1 - 2|

= 1 + 1 + 0 + 0 + 1 + 1 + 1 + 1

= 6

What is the slope of 7,-2 and -3,3

Answers

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1

3-(-2)/ -3-7

5/-10

= -1/2

III
Knowledge Check
Rewrite the equation below so that it does not have fractions.
2
3
x + 4 =
4
Do not use decimals in your answer.
Х
+
5
?

Answers

Answer:

[tex]9x- 60=10[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{4}x - 5 = \frac{5}{6}[/tex]

Required

Rewrite to remove fractions

The denominators in the above expression are 4 and 6.

So, first we take the LCM of 4 and 6

[tex]LCM = 12[/tex]

Next, multiply both sides of the equation by this LCM (12)

[tex]12 ( \frac{3}{4}x - 5) = \frac{5}{6} * 12[/tex]

[tex]12 * \frac{3}{4}x - 12 *5 = \frac{5}{6} * 12[/tex]

[tex]3 * 3x- 60=5 * 2[/tex]

[tex]9x- 60=10[/tex]

you'd like your pendulum to take 20 seconds to complete a cycle how long will the pendulum need to be? is the reasonable in your building which is planned to be 20 feet long?​

Answers

Answer:

Concept: Mathematical Analysis

The full rotation of a pendulum is attached, plug in the values and solve.Rate brainlist.
you'd like your pendulum to take 20 seconds to complete a cycle how long will the pendulum need to be? is the reasonable in your building which is planned to be 20 feet long? answer: 10 ft

You start a new job. After w weeks, you have (10w+110) dollars in your savings account and (36w+25) dollars in your checking account.

Answers

Answer:

(46w+135) dollars

Step-by-step explanation:

Given that,

Amount in savings account = (10w+110) dollars

Amount in checking amount = (36w+25) dollars

We need to find an expression that represents the total in both accounts. It is simply the sum of amount in the savings account and checking amount.

Sum = (10w+110) dollars + (36w+25) dollars

= (10w+36w) + (110+25)

= (46w+135) dollars

Hence, the required expression is (46w+135) dollars

Estimate the difference.

14One-ninth – 5.89

8
12
16
20

Answers

Round 14One-ninth to 14

Round 5.89 to 6

Now subtract: 14-6 = 8

The answer is 8

Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes for preheating), how many cookies did Amy bake?

Answers

Answer:

528 cookies

Step-by-step explanation:

3 hours is 180 minutes

55 minutes - the 15 for preheating is 40 minutes

180 minutes + 40 minutes = 220 (total time she could've had cookies in the oven)

220 divided by 20 is 11 (total batches of cookies)

11 times 48 is 528

Sorry if my answer is confusing lol

The total number of cookies that Amy baked is 528 cookies.

What is the Subtraction operation?

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

To solve this problem, we need to convert the total time the oven was on (3 hours and 55 minutes) into minutes.

Since there are 60 minutes in an hour, the total time the oven was on in minutes is : 3 hours x 60 minutes/hour + 55 minutes = 235 minutes.

We need to subtract the time the oven was preheating (15 minutes) from the total time the oven was on to get the time that was spent baking cookies. This gives us a total of 235 minutes - 15 minutes = 220 minutes of baking time.

Since each batch of cookies takes 20 minutes to bake, the number of batches of cookies that Amy baked is :

220 minutes / 20 minutes/batch = 11 batches.

Since each batch contains 48 cookies,

So, the total number of cookies that Amy baked is :

11 batches × 48 cookies/batch = 528 cookies.

Thus, Amy baked 528 cookies overall altogether.

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