Finding the Volume of a Cone, Cylinder, and Sphere

A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a cone?

• V = 4/3(2πr²)h

• V = ⅓ (2π r²)h 

• V = ⅓ (π r²)h

• V = 4/3(2πr²)h

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a sphere?

• V = 4/3(πr³)

•  V = 4(πr²)

• V = 1/3(πr³)

• V = 4/(3πr)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

v = ?

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A ice cream scoop at Jenny's Sweet Treats is in the shape of a cone. 4 cylinders of ice cream with the same diameter and height need to be filled with ice cream. How many scoops will it take to fill the cylinders?

• 4

• 8

• 12

• 15

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CCSS.3.MD.A.2

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 cylindrical container?

• V = π(9)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The cylinder has a radius of 6 cm and a height of 17 cm. What is the volume of the cylinder?

• 1 921.68 cm³

• 1 92.16 cm³

• 19.21 cm³

• 1. 921 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which is the correct formula in finding the volume of a cylinder?

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Phillip will solve the volume of a cone. Which formula will he use to get the correct answer?

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3