Instructions: Choose the best answer for each question. For multi-select questions, choose ALL correct answers. You may use the formula reference below.
Formulas: Cylinder: V = pi r^2 h | Cone: V = (1/3) pi r^2 h | Sphere: V = (4/3) pi r^3
1
A cylinder has a radius of 4 cm and a height of 10 cm. What is the volume of the cylinder?
A 40 pi cubic cm
B 80 pi cubic cm
C 160 pi cubic cm
D 640 pi cubic cm
2
A cone has a diameter of 12 inches and a height of 9 inches. What is the volume of the cone?
A 108 pi cubic inches
B 324 pi cubic inches
C 432 pi cubic inches
D 1296 pi cubic inches
3
A sphere has a radius of 6 cm. What is the volume of the sphere?
A 48 pi cubic cm
B 144 pi cubic cm
C 288 pi cubic cm
D 864 pi cubic cm
4
Multi-Select: Which statements about volume formulas are TRUE?
Select ALL that apply.
A A cone with the same radius and height as a cylinder has 1/3 the volume.
B If you double the radius of a cylinder, the volume doubles.
C The sphere formula uses r cubed because a sphere is the same in all directions.
D A cone and cylinder with the same dimensions have the same volume.
E Volume is measured in cubic units.
5
A cylindrical water tank has a diameter of 6 meters and a height of 8 meters. How many cubic meters of water can the tank hold? (Use pi = 3.14 and round to the nearest whole number)
A 72 cubic meters
B 226 cubic meters
C 452 cubic meters
D 904 cubic meters
6
A storage silo consists of a cylinder with a hemispherical (half sphere) top. The radius is 5 feet and the cylinder portion has a height of 12 feet. What is the total volume of the silo?