Volume of CYLINDER, CONES, and SPHERES

What is the correct formula to use when calculating the volume of a cone?

• V=(1/3)rh
• V=πr²
• V=(1/3)πr²h
• V=(1/3)πdh

What is the correct formula to use when calculating the volume of a cylinder?

• V=πr²h
• V=πr³h
• V=πdh
• V=πd²h

Tags

CCSS.7.G.B.6

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?

• V = π(9)
• V = π(4.5)²(32)
• V = π(9)²(32)
• V = π(4.5)(32)

Tags

CCSS.7.EE.B.4

CCSS.7.G.B.6

Find the Volume of the Cone

• 150.72 cm³
• 75.36 cm³
• 452.16 cm³
• 151 cm³

A cylinder has a diameter of 12 cm and a height of 9 cm.  Which measurement is closest to the volume of the cylinder?

• 1527 cm³
• 4072.2 cm³
• 1017.4 cm³
• 3054 cm³

A cylinder has a radius of 12 yards and a height of 21 yards.  Which measurement is closest to volume of the cylinder?

• 9495.36 yd³
• 3165.12 yd³
• 4747.68 yd³
• 12660.5 yd³

A party hat has an full opening of 6 inches, and a height of 9 inches.  Which measurement is closest to the volume of the hat?

• 84.78 in³
• 339.3 in³
• 254.5 in³
• 10174.9 in³

A styrofoam model of a volcano has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam.

• 7234.6 cm³
• 7984.6 cm³
• 8934.4 cm³
• 6034.7 cm³

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone. 

• 50.24 ft³
• 150.72 ft³
• not here
• 192.65 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.

^{*Hint: Find the volume and then multiply!}

• 502.4 in³

• 167.5 in³

• 251.2 in³

• 83.7 in³