How to Calculate Cylinder Volume and Surface Area? (+FREE Worksheet!)

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Watch this practice video for additional examples and reinforcement:

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Step by step guide to calculating Cylinders volume and surface area

• A cylinder is a solid geometric figure with straight parallel sides and a circular or oval cross section.
• Volume of Cylinder Formula \(= π\) (radius)\(^2 × \) height, \( π = 3.14\)
• The surface area of a cylinder \(=2πr^2+2π\text{ rh }\)
  

Volume of a Cylinder For education statistics and research

Surface Area of a Cylinder

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Cylinder Volume and Surface Area – Example 1:

Find the volume and Surface area of the follow Cylinder.

Solution:

Use volume formula: Volume \(= π\) (radius)\(^2 × \) height, \((r=2 \text{ cm }, h=8 \text{ cm }\))
Then: Volume \(=π(2)^2×8= 4π×8=32π\)
\(π=3.14\) then: Volume \(=32π=32 × 3.14 = 100.48\) \(\text{ cm }^3 \)
Use surface area formula: Surface area \(=2πr^2+2π\text{ rh }\)
Then: \(=2π(2)^2+2π(2)(8)=2π(4)+2π(16)=8π+32π=40π\)
\(π=3.14\) then: Surface area \(=40×3.14=125.6\) \(\text{ cm }^2\)

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Cylinder Volume and Surface Area – Example 2:

Find the volume and Surface area of the follow Cylinder.

Solution:

Use volume formula: Volume \(= π\) (radius)\(^2 × \) height, \((r=4 \text{ cm }, h=6 \text{ cm }\))
Then: Volume \(=π(4)^2×6= 16π×6=96π\)
\(π=3.14\) then: Volume \(=96π=96 × 3.14=301.44\) \(\text{ cm }^3 \)
Use surface area formula: Surface area \(=2πr^2+2π\text{ rh }\)
Then: \(=2π(4)^2+2π(4)(6)=2π(16)+2π(24)=32π+48π=80π\)
\(π=3.14\) then: Surface area \(=80×3.14=251.2\) \(\text{ cm }^2\)

Exercises for Calculating Cylinder Volume and Surface Area

Volume of a Cylinder

Surface Area of a Cylinder

Find the volume of each Cylinder. Round your answer to the nearest tenth. \((\pi=3.14)\)

Download Cylinder Worksheet

1. \(\color{blue}{75.4 \ m^3}\)
2. \(\color{blue}{1,130.4 \ m^3}\)
3. \(\color{blue}{1,808.6 \ m^3}\)

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