The volume of the cylinder is 62.83 cubic cm and the volume of. the cone is 20.94 cubic cm.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
We know that,
It should be noted the to calculate the volume of a cylinder, we can use the formula V = πr²h, where r is the radius and h is the height. In this case, the height and radius of the cylinder and cone are the same.
For the cylinder:
Volume = π(2cm)²(5cm)
V = 20π
For the cone, we can use the formula
V = (1/3)πr²h:
V = (1/3)π(2cm)²(5cm)
V = 20/3π cubic cm (exact value)
Hence, to get an approximate decimal value, we can use a calculator to evaluate:
Volume of cylinder ≈ 62.83 cubic cm
Volume of cone ≈ 20.94 cubic cm
Learn more about volume on
brainly.com/question/27710307
#SPJ2
Complete question:
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of the cylinder and the cone. Enter your answers as a whole number or fraction
Cylinder:
π cm3
Cone:
π cm3
Flag question: Question 2
Question 21 pts
The volume of this cone is cubic units.
A drawing of a cone.
What is the volume of a cylinder that has the same base area and the same height?
π
Flag question: Question 3
Question 31 pts
A cylinder has a diameter of 6 cm and a volume of cm3.
Sketch the cylinder.
Find its height and radius in centimeters.
Label your sketch with the cylinder's height and radius.
Radius:
cm Height:
cm
Flag question: Question 4
Question 41 pts
Lin wants to get some custom T-shirts printed for her basketball team. Shirts cost $10 each if you order 10 or fewer shirts and $9 each if you order 11 or more shirts.
1. Make a graph that shows the total cost of buying shirts, for 0 through 15 shirts.
2. There are 10 people on the team. Do they save money if they buy an extra shirt? Explain your reasoning.
No
3. What is the slope of the graph between 0 and 10? What does it mean in the story?
The slope is
5
which represents the
Shirts per $1
for the first 10 shirts
4. What is the slope of the graph between 11 and 15? What does it mean in the story?
The slope is
7
which represents the
Price per 1 shirt
for 10-15 shirts
Flag question: Question 5
Question 51 pts
In the following graphs, the horizontal axis represents time and the vertical axis represents distance from school. Match a possible story to each graph.
Group of answer choices
Left graph
A student leaves school and walks to a friend’s house that is halfway between school and their house. After spending some time at a friend’s house, the student continues walking home.
Center graph
An athlete leaves school to go home for a while, then returns to school for a game later in the evening.
Right graph
A parent starts from their workplace and drives directly to school to pick up their daughter.
No new data to save. Last checked at 8:05am
HELP
Which expression represents the sum of 2/3m - 1 1/6 and 5/6m - 1 1/3?
HOW DO I DO THIS??????
Answer:
-m+15/6
2/3m-5/3m-5/2
Answer: 1 5/6m - 2 1/2
Step-by-step explanation:
(2/3m - 1 1/6) + (5/6m - 1 1/3)
2/3m X 2 = 4/6m
4/6m + 5/6m = 11/6m=1 5/6m
-1 1/3 X 2 = -1 2/6
-1 2/6 - 1 1/6 = -2 1/2
1 5/6m - 2 1/2
Match the verbal expression with its algebraic expression. (10 points)
Group of answer choices
b + 2
[ Choose ]
x − 2
[ Choose ]
2z
[ Choose ]
a ÷ 2
[ Choose ]
y2
[ Choose ]
Answer:
Could you specify it more pls?
Step-by-step explanation:
Which expression represents the distance between point J and point K?
Answer:
|-10| + |5|, I think
Step-by-step explanation:
|-10| = 10, and |5| = 5, therefore, added together it would be 15, and the distance between J and K is 15.
can someone help me with this topic pls its hard to figure out.
Answer: 65.94 m^3
Step-by-step explanation:
The volume of a cone is [tex]\pi * r^2*h/3[/tex]
[tex]\pi = (3.14) || r^2 = (3^2)||h/3 = (7/3)[/tex]
Step 1. Simplify the expression. [tex]3.14 * 9*7/3[/tex]
Step 2. Multiply 9 * 3.14. [tex]28.26 * 7/3[/tex]
Step 3. Finish simplifying. [tex]28.26 * 7/3 = 65.94[/tex]
Answer:: 65.94 m^3
Step-by-step explanation:
Who every answers this gets 100 points!!
And you have to be right!!!
Answer: is it 7
Step-by-step explanation: just by looking at the image it looks like answer would be 7
Please, help me with this!
Answer: 7/16
Step-by-step explanation:
What is the answer to this question
Answer:
Step-by-step explanation:
I think not possitive but i think it is the 3rd one hope im right
You pay a processing fee and a daily fee to rent a beach house. The table shows the total cost of renting the beach house for different numbers of days. A. Can the situation be modeled by a linear equation? Explain. The situation can be modeled by a linear equation because the total cost increases at a constant rate. Question 2 b. What is the processing fee? the daily fee? The processing fee is $ and the daily fee is $. C. You can spend no more than $1200 on the beach house rental. What is the maximum number of days you can rent the beach house? days
Answer:
Step-by-step explanation:
You guys are annoying!
the reason for the annoying behavior that you see in us is because you do not understand us. if you were a proper weirdo, you would know this.
PLEASE HELP IM ALMOST OUTTA TIME 2
Answer: The answer is 32
Step-by-step explanation:
2(5)^2-2(5+4)
2 * 25 - 2(9)
50 - 18
32
help me pls,i dont understand this
Answer:
approx 314 m^3
Step-by-step explanation:
volume=pi r^2 h/3 => pi*5^2*12/3 =>3.14*25*4=314
Answer:
approx 314 m^3
Step-by-step explanation:
help mee asap pleasee Which expression calculates the speed in feet per second of an object that travels a distance of 20 feet every 4 seconds?
Responses
A-20 plus 4
B-4 times 20
C-20 divided by 4
D-4 divided by 20
Answer:
C
Step-by-step explanation:
A B C or D??????????
Answer:
The correct answer is D
Step-by-step explanation:
there is no relationship
Answer:
D
Step-by-step explanation:
the length doesn't decrease nor increase the wingspan
help me pleasee ill give brainliest ?
Answer:
3.) 6 to 5
Step-by-step explanation:
Unit rates are like ratios. It also means a rate of one to something. So 3.) 6 to 5 is correct
Identify the g the equation: 18g - 1 = 40
Answer:
g= 41/18
Step-by-step explanation:
I hope this helped
Answer:
18g=40+1
18g/18=41/18
g=41/18 or 2.28
Step-by-step explanation:
1.transpose (-1) to the other side and ad it to 40
2.divide 18g and 41 to leave g alone and your answer is 41/18
One solution of a quadratic equation is 8. What do you know about the quadratic equation? What are two ways you would know if a quadratic equation could have this solution?
(picture)
Answer:
factor it and see if one of those factors is x − 8 x-8 x−8 ...
Step-by-step explanation:
Therefore, if the quadratic equation has a solution of 8, then it must have a factor of. Since x − 8 x-8 x−8 must be a factor of any quadratic equation that has a solution of 8, the first way you could determine if a quadratic equation has a solution of 8 is to
y + 2 = x which choice is the slope-intercept form for y + 2= x
Answer: y = x - 2
Step-by-step explanation:
x - y - x = y + 2 - y - x
-y/-1 = (2 - x)/-1
y = -2 + x
y = x - 2
PLEASE ANSWER QUICK IM RUNNING OUTTA TIME!!!
Answer:
15
Step-by-step explanation:
4x^2 - 10
-----------------
y
Calculate the expression.
Let x = 5 and y = 6. Substitute into the expression.
4(5)^2 - 10
-----------------
6
Exponents first.
4(25) - 10
-----------------
6
Multiply next.
100 - 10
---------------
6
Calculate the numerator
90
-----
6
Divide the numerator by the denominator.
15
(PLEASE HELP I NEED TO ANSWER THIS) what is the volume of the compisite figure
Answer: V=381m³
Step-by-step explanation:
V1=(5m)x(3m)x(6m) over 2
V1=45m³
V2=(16m)x(3m)x(7m)
V2=336m³
V1+V2=
V=381m³
Please, help me with this!
Answer:
Below
Step-by-step explanation:
Add the fractions together to see if they total LESS than the ONE CUP that she has available:
3/8 + 1/4 <=====must have the same denominator to add fractions
3/8 + 2/8 = 5/8 <==== this is less than ONE cup so she has enough
Find the selling price. Round to the nearest cent for each 18-20
18. cost: $10 percent markup: 50%
19. cost: $28 percent markup: 25%
20. cost: $65 percent markup: 70%
Answer:
18: 15$
19: 35$
20: 110.50$
Step-by-step explanation:
18: A 50% markup would mean 5 dollars extra which makes it 15$
19: 25% of 28 would be an extra 7 dollars which makes it 35$
20: 70% of 65 would be 45.50 cents, adding this to 65 would make it 110.50$
Future help with percentages: When an item is marked up it would mean the percentage is multiplied by the initial value and then add the product with the initial value.
Please, help me with this!
Answer:
I believe the answer is B
Step-by-step explanation:
I think its B.
The correct alternative is: b) 7/16.
I apologize if this is incorrect. I hope you have a lovely day! :)
A pattern of triangular numbers is shown. The first is 1, the second is 3, the third is 6, and so on. The formula 0.5n2 + 0.5n can be used to find the nth triangular number. Is 50 a triangular number? Explain.
(picture)
Answer:
50 is not a triangular number
Step-by-step explanation:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 =55
The way to calculate triangle numbers is to add the corresponding number.
For example, 1 is a triangle 1 + 2 is a triangle 1 + 2 + 3 is a triangle so on and so forth.
Triangle numbers would be 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, and 91
Show work. Due in 5 hours.
Answer: 3 feet
Step-by-step explanation: It's simple if there is a 39-foot ladder going straight up and the house is 36 feet high back up 3 feet then angle the ladder a little bit and it meets at the point
Answer: 3 feet
Step-by-step explanation:
1. Consider this scatter plot.
Test Scores in Relation to Homework
Hours of Homework
(a) Is the relationship linear or not linear? Justify your response.
(b) Is the relationship increasing or decreasing?
(c) What is the domain and range of the data set?
(d) Draw a line of best fit, and find the slope of that line.
Answer:
(A) Not Linear
(B) Increasing
(C) Domain : 1,2,3,4,5,6 Range: all real numbers
Step-by-step explanation:
Not linear because not straight line
Increasing because its increasing
Domain is x and range is y
What is the area of this trapezoid?
Enter your answer in the box.
Answer:
153 units squared
Step-by-step explanation:
first, multiply 10 x9 to find the area of the rectangle, which is 90
then find the area of the triangle. The formula for area of a triangle is
A=1/2bh
so, 7 x 9= 63 divided by 2 is 31.5
since there are 2, multiply 31.5 x 2= 63
add 63 to 90 which is 153
Answer: 153 sq. units
Step-by-step explanation:
Base a = 10
Base b = 7x2 = 24
Height = 9
area of trapezoid = 1/2 * (a+b) * h
= 10+24 * 9 /2
= 306/2 = 153
Can Someone please help ?
Answer: The Answer would be-
4.83
Step-by-step explanation:
4 5/6 as a decimal is 4.83
Angelica’s speed is 4 cm/minute, Monique’s speed is 3. 5 cm/minute, and Courtney’s speed is 5. 5 cm/minute. Which turtle will win the race? Explain your reasoning.
Answer:
C O U R T N E Y
Step-by-step explanation:
Look at their speed… meaning;
Angelica can run 4 cm per minute
Monique can run 3.5 cm per minute
And Courtney can run 5.5 cm per minute
The longest one is the fastest one
It says “per minute (/minute) which means courtney will win he can run to 5.5 cm in just a minute, but the others is slower than her
— — — —A
— — — -M
— — — — — - C
A sculpture is made of solid nickel in the shape of a cone. The sculpture is 84 inches tall, and its base has a diameter of 16 inches. If nickel costs $2.25 per cubic inch, how much did the nickel for the sculpture cost?
Use 3.14 for pi, and do not round your answer.
The total cost of the nickel for the sculpture is $12,660.48.
We know that the volume of a cone is:
v = 1/3πr²h ......(i)
where r ⇒ radius of the cone
h ⇒ height of the cone
Now, as per the question,
r = diameter/2 = 16÷2 = 8 inches
h = 84 inches
Putting the values in equation (i)
v = 1/3 × 3.14 × (8)² × 84
v = 5626.88 cubic inch
The cost given for nickel = $2.25 per cubic inch
So, the total cost for the nickel used in making the sculpture:
the volume of cone × cost per cubic inch
5626.88 × 2.25 = $12,660.48
Therefore, the total cost for the nickel used is $12,660.48
Read more about the Volume of a Cone:
https://brainly.com/question/31211180
Original number of students: 56
New number of students: 77
Find the percent of change. Round your answer to the nearest tenth of a percent, if necessary.
Answer:Therefore, the percent change from 56 to 77 students is 37.5%.
Step-by-step explanation:
students, we can use the following formula:
percent change = ((new number - old number) / old number) x 100%
Plugging in the values given in the problem, we get:
percent change = ((77 - 56) / 56) x 100%
percent change = (21 / 56) x 100%
percent change = 0.375 x 100%
percent change = 37.5%
Therefore, the percent change from 56 to 77 students is 37.5%.
Answer: 37.5%
Step-by-step explanation:
