Calculating Volumes and Heights of 3D Shapes

A cylindrical water tank has a radius of 3 meters. What is the volume of the tank if the height is 5 meters?

• 30π cubic meters

• 45π cubic meters

• 15π cubic meters

• 60π cubic meters

A cone-shaped ice cream cone has a radius of 2 inches and a height of 6 inches. What is the volume of the ice cream cone?

• 4π cubic inches

• 6π cubic inches

• 8π cubic inches

• 12π cubic inches

A sphere has a radius of 4 cm. What is the volume of the sphere? (Use π ≈ 3.14)

• 300.50 cm³

• 150.80 cm³

• 200.00 cm³

• 267.95 cm³

A cylindrical can has a height of 10 cm and a volume of 500 cm³. What is the radius of the can?

• 3.0 cm

• 3.98 cm

• 5.0 cm

• 4.5 cm

A cone has a volume of 150 cm³ and a radius of 3 cm. What is the height of the cone?

• 15.92 cm

• 10 cm

• 20 cm

• 12.5 cm

A spherical balloon has a diameter of 12 inches. What is the volume of the balloon? (Use π ≈ 3.14)

• 1130.40 cubic inches

• 523.60 cubic inches

• 452.16 cubic inches

• 904.32 cubic inches

A cylindrical storage tank has a volume of 1000 liters and a radius of 5 meters. What is the height of the tank? (1 liter = 1000 cm³)

• 2.000 meters

• 1.500 meters

• 1.273 meters

• 0.800 meters

A cone has a height of 9 cm and a volume of 60 cm³. What is the radius of the base of the cone?

• √(20/π) cm

• 5 cm

• 7 cm

• 3 cm

A sphere is filled with water and has a radius of 5 cm. How much water can it hold? (Use π ≈ 3.14)

• 523.33 cm³

• 942.48 cm³

• 125.66 cm³

• 314.15 cm³

A cylindrical pipe has a radius of 2 inches and a height of 8 inches. What is the volume of the pipe?

• 24π cubic inches

• 32π cubic inches

• 16π cubic inches

• 40π cubic inches