Cylinders and Cones
Prisms and Pyramids
Spheres
Similar Solids
Word Problems
100

Given that the base and height are the same, what is the relationship between a cylinder and a cone?

The volume of the cone is 1/3 the volume of the cylinder.

100

Given that they have the same base and height, what is the relationship between a prism and a pyramid.

The volume of the pyramid is 1/3 the volume of the prism.

100
Find the volume of a sphere with a radius of 7 feet.
1436.0 feet cubed.
100

Suppose we have 2 spheres. One has a radius of 2 cm and the other has a radius of 4 cm. Determine whether they are proportional/similar.

Yes, they are similar.

100

A candle makers has a block of paraffin that is 8 cm high by 5 cm long by 10 cm wide. He melts it into a cylinder shaped candle that is 6 cm wide by 12 cm high. How much more does he need or how much extra does he have?

He still has 60.88 centimeters cubed left over.

200
What is the volume of a cone with a radius of 5 m and a height of 13 m?
340.2 meters cubed.
200

What is the volume of a rectangular prism with a length of 3 in., and width of 4 in., and a height of 13in.?

156 in.3

200
Find the volume of a sphere with a radius of 4.5 in.
381.5 inches cubed.
200

The scale factor between two similar figures is 2:3. Find the surface area of the larger figure, given that the smaller figure has a surface area of 64 mi2

144 mi2

200

An inflatable spherical exercise ball and an inflatable cylindrical ottoman both have a diameter of 36 inches. Both hold the same amount of air. What is the height of the ottoman?

24 inches.

300
What is the volume of a cylinder with a diameter of 9 ft and a height of 2 ft?
127.2 feet cubed.
300

What is the volume of a square pyramid with a height of 8.2 m and a width of 5 m?

68.3 m3

300
Find the volume of a sphere with a diameter of 8.7 feet.
344.6 feet cubed
300

The scale factor between two similar figures is 1:10. Find the volume of the larger figure, given that the smaller figure has a volume of 594 cm3

594,000 cm3

300

A baseball has a diameter of 2.9 inches. Find the volume of the baseball.

12.8 inches cubed.

400
What is the volume of a cone with a diameter of 12.7 in and a height of 6.2 in?
261.7 inches cubed
400

What is the volume of a triangular pyramid with a base of 4 yd, a length of 3 yd, and a height of 2.2 yd?

4.4 yd3

400
Find the volume of a sphere with a diameter of 10 feet.
523.3 feet cubed
400

The scale factor between two similar figures is 8:9. Find the surface area of the larger figure, given that the smaller figure has a surface area of 160 m2

202.5 m2

400

A ball with a diameter of 10 inches is placed in a box that is 11 in by 11 in by 11 in. What is the volume of the box that is not filled by the ball?

807.7 inches cubed

500
What is the volume of a cylinder that has a height of 8 ft and a width of 24 inches in cubic feet?
100.5 cubic feet.
500

What is the volume of a rectangular prism with a length of 2 ft, a width of 26 in, and a height of 1 yd?

Write your answer in ft3

1872 ft3

500
Find the volume of a sphere with a diameter of 4.5 feet in cubic inches.
82,406.2 inches cubed
500

The scale factor between two similar figures is 12:26. Find the volume of the larger figure, given that the smaller figure has a volume of 3456 mi3

35152 mi3

500

A hemisphere is half of a sphere. Re-write the formula of a sphere to represent the formula of a hemisphere.

(4*3.14*r^3)/6

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