Finding Volume – Real-World Applications
Finding Volume – Real-World Applications
1.
How much air is needed to fill an exercise ball with a
radius of 15 inches? Write your answer in terms of pi.
1.
How much air is needed to fill an exercise ball with a
radius of 15 inches? Write your answer in terms of pi.
2.
A company makes cone-shaped cups for its water
dispensers. In terms of pi, what is the volume of each cup?
2.
A company makes cone-shaped cups for its water
dispensers. In terms of pi, what is the volume of each cup?
3.
A small greenhouse is in the shape of a half-cylinder.
The diameter of the greenhouse is 30 feet long, and its length is
20 feet. What is the volume inside the greenhouse? Write your
answer in terms of pi.
3.
A small greenhouse is in the shape of a half-cylinder.
The diameter of the greenhouse is 30 feet long, and its length is
20 feet. What is the volume inside the greenhouse? Write your
answer in terms of pi.
Finding Volume – Real-World Applications (continued)
4.
A company manufactures solid glass spheres. Each
sphere has a radius of 2 inches and is packed in a gift box
shaped like a cube. The box is small enough so the each
side of the box touches the sphere. Material is added to the
spaces around the glass spheres in the boxes to prevent
breakage. What is the volume, in cubic inches, of the space
inside the box but outside the sphere? Show your work.
Use p = 3.14 and round to the nearest tenth.
5.
The volume of a cylinder is 441p in3 and its height is
9 inches. What is the radius of the cylinder?
6.
Sand is piled in the shape of a cone. If the pile of
sand has a diameter of 20 feet and a volume of 610p cubic
feet, what is the height of the pile?
9.
In a construction site, a crane is lifting water in a cone
shaped container and transferring the water to a cylindrical
storage tank. What is the maximum number of full buckets that
can be transferred to the storage tank without overflowing?
7.
A tank in the form of a right circular cylinder is used for
storing water. It has a diameter of 12 feet and a height of 14
feet. How many gallons of water will it hold? (1 cubic foot =
7.5 gallons)
8.
A sphere and a cone have the same volume, and each has
a radius of 6 cm. What is the height of the cone?
10. At Bonnie’s Ice Cream Shop, ice cream is stored in
cylindrical containers that have a diameter of 12 inches and a
height of 18 inches. Bonnie serves her ice cream by the scoop,
and each scoop has approximately a 3-inch diameter. How
many full scoops of ice cream does each cylindrical container
have?