Geometry, Volume, and Surface Area Quiz

Find the volume of a cylinder with radius 5 inches and height 12 inches.

• 942pi cubic inches

• 60pi cubic inches

• 720pi cubic inches

• 300pi cubic inches

A sphere has a radius of 4 meters. Calculate its surface area.

• 144pi square meters

• 16pi square meters

• 256pi square meters

• 64pi square meters

A cone has a radius of 6 centimeters and a height of 8 centimeters. Find its volume.

• 48pi cubic centimeters

• 128pi cubic centimeters

• 288pi cubic centimeters

• 96pi cubic centimeters

The volume of a sphere is 288pi cubic inches. What is its radius?

• 7 in

• 8 in

• 4 in

• 6 in

A cylindrical water tank has a height of 15 feet and a radius of 8 feet. How many cubic feet of water can it hold when completely full?

• 1800pi cubic feet

• 640pi cubic feet

• 256pi cubic feet

• 960pi cubic feet

Two similar cylinders have heights in the ratio 3:4. If the volume of the smaller cylinder is 54pi cubic units, and the radius of the larger cylinder is 4 units, find the radius of the smaller cylinder.

• 6 units

• 4 units

• 8 units

• 3 units

A hemisphere has a surface area of 192pi square meters (including the base). What is its radius?

• 12 meters

• 10 meters

• 9 meters

• 8 meters

The lateral surface area of a cone is 60pi square inches and its radius is 6 inches. Find its slant height.

• 10 in

• 6 in

• 4 in

• 8 in

A sphere is inscribed in a cube. If the volume of the cube is 216 cubic units, what is the volume of the sphere?

• 216pi cubic units

• 24pi cubic units

• 144 cubic units

• 36pi cubic units

The ratio of the volumes of two spheres is 27:8. What is the ratio of their radii?

• 9:4

• 6:1

• 5:2

• 3:2