(Surface Area of Cylinders MC)

Determine the exact surface area of the cylinder in terms of π.

cylinder with radius labeled 1 and one fourth centimeters and a height labeled 3 and three fourths centimeters

39 and one fourth times pi square centimeters
14 and one sixteenth times pi square centimeters
12 and one half times pi square centimeters
10 and 15 sixteenths times pi square centimeters

Answers

Answer 1

The surface area of a cylinder can be found by adding the areas of the top and bottom circles, as well as the area of the side (lateral) surface.

The radius of the cylinder is 1 and one fourth centimeters, which can be written as 5/4 cm. The height of the cylinder is 3 and three fourths centimeters, which can be written as 15/4 cm.

The area of each circle is πr^2, where r is the radius. So, the area of the top and bottom circles is:

2π(5/4)^2 = 25/2 π square centimeters

The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height. So, the lateral surface area of the cylinder is:

2π(5/4)(15/4) = 75/2 π square centimeters

Therefore, the total surface area of the cylinder is:

25/2 π + 75/2 π = 100/2 π = 50 π square centimeters

So, the exact surface area of the cylinder in terms of π is 50π square centimeters. None of the given options matches this answer.


Related Questions

I will give 20 points
pls help me

Answers

Answer:

Q1)A=2(wl+hl+hw)=2·(4·10+6·10+6·4)=248

Step-by-step explanation:

Hopefully this is the answer you are looking for.

The surface area is 24 square inches

Please help me Solve −17=5w+3 .Also show steps how you solved it

Answers

Answer:

w = -4

Step-by-step explanation:

-17 = 5w + 3

Subtract 3 from both sides:

-20 = 5w

Divide 5 from both sides:

[w = -4]

Answer:

w= -4

Step-by-step explanation:

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)

Answers

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

A B C or D??????????

Answers

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

What is the answer to this question

Answers

Answer:

Step-by-step explanation:

I think not possitive but i think it is the 3rd one hope im right

Please, help me with this!

Answers

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

It’s B
Because I did the quiz before

What is the area of this trapezoid?



Enter your answer in the box.

Answers

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

Please, help me with this!

Answers

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! :)

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.

Answers

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

Show work. Due in 5 hours.

Answers

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:

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

Answers

Answer:

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

Answers

Answer:

C

Step-by-step explanation:

ANSWER:
C

Step-by-step:

d: 20
t: 4

d= v • t
20 = 4v

20/4

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.

Answers

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

Who every answers this gets 100 points!!

And you have to be right!!!

Answers

Answer: is it 7

Step-by-step explanation: just by looking at the image it looks like answer would be 7

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)

Answers

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

Answers

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, help me with this!

Answers

Answer:

im not sure

Step-by-step explanation:1 half maybee

PLEASE HELP IM ALMOST OUTTA TIME 2

Answers

Answer: The answer is 32

Step-by-step explanation:

2(5)^2-2(5+4)

2 * 25 - 2(9)

50 - 18

32

put 5 where the x’ are, then use PEMDAS to answer. your answer would be 32.

The necklace charm shown has two parts, each shaped like a trapezoid with identical dimensions.
What is the total area, in square millimeters, of the charm?
Enter your answer in the box.

Answers

Answer:

855mm

Step-by-step explanation:

A = (b₁ + b₂)h / 2

A = (25mm + 32mm)(15 mm) / 2

A = 427.5 mm²

total area = (427.5 mm²)(2)

total area = 855 mm²

Answer:855mm

Step-by-step explanation: I took the test

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 ]

Answers

Answer:

Could you specify it more pls?

Step-by-step explanation:

you need to put the other options in order for this to be answered.

You guys are annoying!

Answers

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.

yay that is amazing congratulations

HELP
Which expression represents the sum of 2/3m - 1 1/6 and 5/6m - 1 1/3?
HOW DO I DO THIS??????

Answers

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

Can Someone please help ?

Answers

Answer: The Answer would be-

                     4.83

Step-by-step explanation:

4 5/6 as a decimal is 4.83

4.8……………………………………………………………..

Find the perimeter of the figure below, in meters.

Answers

p=75.8meters

you need to add all of the sides together

Add all sides together

can someone help me with this topic pls its hard to figure out.

Answers

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:

PLEASE ANSWER QUICK IM RUNNING OUTTA TIME!!!

Answers

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

help me pls,i dont understand this

Answers

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:

Please help, this is due tomorrow, HELP

Answers

Answer:u thoght

Step-by-step explanation:

2 and 5/8 your welcomeee

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.

Answers

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

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.

Answers

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:

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