Volume of a Cylinder

Volume of a Cylinder

By Amber Moody

​Area of the Base times the height

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​Volume Formula for a Cylinder

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Volume:

(π)(4²)(10)

​(π)(16)(10)

​160π m³

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Exact Volume of the given cylinder

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Volume:

(3.14)(8²)(15)

​(3.14)(64)(15)

​3,014.4 cm³

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Approximate Volume of the given cylinder

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Multiple Choice

What is volume?

• The amount of space of a 2-D object
• The amount of space in a 3-D object
• Water
• Area

Multiple Choice

What is the formula for volume of a CYLINDER?

• V = π r²
• V = π r² h
• V =  ⅓ π r² h
• V =  ⅓ L W H

Multiple Choice

Which is the correct set up to find the volume?

• $$V=\left(\pi\right)\left(3\right)\left(10\right)$$  

• $$V=\left(\pi\right)\left(3^2\right)\left(10\right)$$  

• $$V=\left(\pi\right)\left(3\right)\left(10\right)^2$$  

Multiple Choice

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

• 16.4 cm³
• 31.7 cm³
• 31.4 cm³
• 22.0 cm³

Multiple Choice

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)

Multiple Choice

Which is exact volume of the given cylinder?

• $$V=602.88\ ft^3$$  

• $$V=48\pi\ ft^3$$  

• $$V=192\pi\ ft^3$$  

Multiple Choice

Jason is drinking a soda from a can that has a radius of 5 in and a height of 43 in. How much soda is in the can? Leave the answer in terms of π.

• 1075π in^3

• 268.75π in^3

• 430π in^3

• 806.25π in^3

Multiple Choice

Nicholas has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. Exactly how much soup can Nicholas’s soup pot hold?

• $$540\pi\ in^3$$

• $$180\pi\ in^3$$

• $$2160\pi\ in^3$$

• $$135\pi\ in^3$$