Volume of 3D Shapes

What is the formula for calculating the volume of a cylinder?

• V = πrh

• V = 2πrh

• V = πr^2h

• V = 2πr^2h

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If the radius of a cylinder is 5 cm and the height is 10 cm, what is the volume of the cylinder? (Use π = 3.14)

• 785 cm³

• 1000 cm³

• 500 cm³

• 150 cm³

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CCSS.HSG.GMD.A.1

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What is the formula for calculating the volume of a cone?

• (1/4) * π * r^2 * h

• 2 * π * r * h

• (1/2) * π * r^2 * h

• (1/3) * π * r^2 * h

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If the radius of a cone is 8 m and the height is 15 m, what is the volume of the cone? (Use π = 3.14)

• 256.8 m³

• 400.2 m³

• 120.5 m³

• 502.4 m³

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CCSS.HSG.GMD.A.3

What is the formula for calculating the volume of a sphere?

• V = (4/3) * π * r^2

• V = 2 * π * r^3

• V = (4/3) * π * r^3

• V = 2 * π * r^2

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CCSS.HSG.GMD.A.2

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If the radius of a sphere is 6 cm, what is the volume of the sphere? (Use π = 3.14)

• 452.16 cm³

• 72 cm³

• 36 cm³

• 24 cm³

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CCSS.HSG.GMD.A.3

A cylindrical water tank has a radius of 4 ft and a height of 10 ft. What is the volume of water the tank can hold? (Use π = 3.14)

• 256 cubic feet

• 100.8 cubic feet

• 75.36 cubic feet

• 502.4 cubic feet

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A cone-shaped party hat has a radius of 3 in and a height of 5 in. What is the volume of the party hat? (Use π = 3.14)

• 47.1 cubic inches

• 31.4 cubic inches

• 15.7 cubic inches

• 10.5 cubic inches

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A spherical balloon has a radius of 12 cm. What is the volume of air the balloon can hold? (Use π = 3.14)

• 7234.56 cm³

• 900 cm³

• 376.8 cm³

• 144 cm³

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CCSS.HSG.GMD.A.3

Explain a real-life scenario where knowing how to calculate the volume of 3D shapes would be useful.

• Baking and cooking

• Architecture and construction

• Astronomy and space exploration

• Sculpting and pottery

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