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Volume of Cylinders

Total questions: 20

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
Michael has a very large soup pot shaped like a cylinder that has a height of 15  inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?
a)
4239 in3
b)
423.9 in3
c)
1695.6 in3
d)
 1695.6 in2
2.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
3.
A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?
a)
27,143.36 ft3
b)
3392.92 ft3
c)
13,571.68 ft3
d)
6,785.84 ft3
4.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
124.6 in3
b)
87.9 in3
c)
97.5 in3
d)
78.9 in3
5.

Victoria bought coffee in a cup shaped like a cylinder with a radius of 5 centimeters and a height of 15 centimeters. Victoria fills the cup with coffee, but she leaves 4.5 centimeters of space at the top to have room for cream. What is the volume of coffee in her cup?

a)

824.7 cm.3

b)

10.5 cm.3

c)

667.25 cm.3

d)

253.2 cm.3

6.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
7.
Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.  How many cubic inches of soda are contained in a full can?
a)
12.0
b)
24.0
c)
75.4
d)
18.8
8.

What is the formula to find volume of a cylinder?

a)

V=πr2hV=\pi r^2h

b)

A= πr2A=\ \pi r^2

c)

V= πd2hV=\ \pi d^2h

d)

V=2πrhV=2\pi rh

9.

Find the volume of the cylinder rounded to the tenths place.

a)

2002.8 mm3

b)

400.6 mm3

c)

637.5 mm3

d)

127.5 mm3

10.

A container of candy is shaped like a cylinder and has a volume of 125.6 cubic centimeters. If the height of the container is 10 centimeters, what is the radius of the container?

a)

2 cm

b)

3 cm

c)

4 cm

d)

5 cm

11.

Find the volume of the cylinder. Use 3.14 for π.

a)

282.6

b)

516.2

c)

133

d)

214

12.

Find the volume of the cylinder. Use 3.14 for π.

a)

109

b)

418

c)

130

d)

1672

13.

Find the volume of this cylinder.

a)

1608.5 cm3

b)

48 cm3

c)

402.1 cm3

d)

512 cm3

14.

You have two cylindrical containers to hold popcorn. Bucket A has 15 in tall and has a radius of 5 in. Bucket B is 5 in tall and has a radius of 15 in. Which will hold more popcorn?

a)

Bucket A

b)

Bucket B

15.

Which of the following equations will find the volume of a cylinder with a diameter of 10 cm and a height of 30 cm?

a)

V = π(102)(30)V\ =\ \pi\left(10^2\right)\left(30\right)

b)

V=π(52)(30)V=\pi\left(5^2\right)\left(30\right)

c)

V=102(30)V=10^2\left(30\right)

d)

V=π(10)(30)V=\pi\left(10\right)\left(30\right)

16.

The diameter of this cylinder is 11 in. What is the volume of the cylinder?

a)

380.1 in3

b)

1520.5 in3

c)

44 in3

d)

242 in3

17.

Sam has a cylindrical storage container 7 inches tall with a radius of 5 inches. He wants to fill it with 500 cubic inches of cat litter. Will the cat litter fit inside the container?

a)

The cat litter will fit inside the container because the volume of the cylinder is 109.9 cm3, which is less than the volume of the cat litter.

b)

The cat litter will fit inside the container because the volume of the cylinder is 35 in3, which is less than the volume of the cat litter.

c)

The cat litter will fit inside the container because the volume of the cylinder is 549.5 cm3, which is greater than the volume of the cat litter.

d)

The cat litter will not fit inside the container because the volume of the cylinder is 549.5 cm3, which is less than the volume of the cat litter.

18.

A can holds 753.6 cubic centimeters of juice. The can has a diameter of 8 centimeters. What is the height of the can?

a)

30 cm

b)

3.75 cm

c)

15 cm

d)

94 cm

19.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
20.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base