Volume of Cylinders
Volume of Cones
Volume of Pyramids
Volume of Spheres
100
A cylinder has a height of 5 centimeters and a radius of 2.3 centimeters. What is the volume of this cylinder? Round to the nearest hundredth.
V =
pir^2h
83.10 cm3
100
Calculate the volume of the cone below. Leave your answer in terms of pi.
V = 1/3 pir^2h
V = 108 pi in3
100
What is the volume?
V = 1/3(l)(w)(h)
128 ft3
100
A sphere has a radius r = 3 inches. What is its approximate volume in terms of pi?
V =
4/3pir^3
V =
36 pi in3
200
Calculate the volume in terms of pi.
V = pir^2h
V = 108 pi in3
200
Find the volume of the cone and round to the nearest tenth.
V =
1/3 pir^2h
490.1 in3
200
What is the volume? Round to the nearest tenth.
V = 1/3(l)(w)(h)
66.7 cm3
200
A spherical-shaped ball that has a radius of 4 inches is currently deflated.
How much air would it take to completely inflate the ball? Leave your answer in terms of pi.
V =
4/3pir^3
V = 256/3pi in3
300
What is the volume of the cylinder. Leave your answer in terms of PI.
V = pir^2h
V =
90pi cm3
300
The ornament below is composed of two congruent cones. Each cone has a base radius of 2 inches and a height of 3.6 inches. What is the volume of the ornament?Leave your answer in terms of pi.
V = 1/3pir^2h
V =
9.6pi in3
300
Find the volume of the pyramid below, round your answer to the nearest tenth.
v = (1/3)(area of base triangle)(pyramid height)
33.3 cm3
300
A manufacturer is working on a new type of bowling ball. The bowling ball will have a weighted sphere inside of it. If the bowling ball's diameter is 8.6 inches and the diameter of the weight is 5.66 inches, what is the best estimate of the volume of material the manufacturer will need in order to create just the bowling ball?
Round your answer to the nearest hundredth.
V = 4/3pir^3
V = 237.98 in3
400
A garden compost bin on sale at the hardware store is shaped like a cylinder with a 40 inch height and 18 inch diameter. To allow the compost to be mixed, the manufacturer recommends that it not be filled more than
2/3
full. What is the maximum recommended amount of compost that can be added to the bin, to the nearest cubic inch?
6786 in3
400
The cylinder and cone shown below have the same height and base radius.
What is the volume of the cone, in terms of pi, if: The volume of the cylinder is
48 pi
V =
16pi cm3
400
A) What is the height of the pyramid?
B)What is the volume of the pyramid? Round to the nearest tenth.
V = 1/3(l)(w)(h)
Volume = 149.3 cm3
400
In preparing for holiday festivities, confetti is stuffed into decorative spherical containers. Each container has a diameter of 12 inches. Approximately how much space does each canister need filled with confetti?
V = 4/3 pir^3
905 in3
500
What is the volume of the portable speaker shown below? Round your answer to the nearest cubic centimeter.
Cylinder: V = pir^2h
Sphere:
V = 4/3pir^3
1474 cm3
500
A drill press is used to remove a cone of steel from a solid cylinder shown below.
What is the volume of steel that remains after the cone is removed. Leave your answer in terms of pi.
V of a Cone:
1/3pir^2h
V of a Cylinder =
pir^2h
V =
99pi cm3
500
What is the volume of the figure below.
V =
V = 1/3(l)(w)(h)
V = 48 ft3
500
A farmer uses a tower silo to store feed for cattle. The tower silo is 35 meters tall and 8 meters in diameter with a hemispherical domed roof, as shown.
V of Sphere:
4/3pir^3
V of Cylinder:
pir^2h
1892 m3