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Math & Statistics

Cylinder Volume & Surface Area Calculator

Calculate the volume, lateral surface area, and total surface area of a cylinder.

Inputs

010,00,000
010,00,000

Calculation Results

Volume

282.74

Lateral Surface Area

188.5

Total Surface Area

245.04

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Formula & Mathematical Explanation

V=πr2h,AL=2πrh,AT=2πrh+2πr2\displaystyle V = \pi r^2 h, \quad A_{L} = 2\pi rh, \quad A_{T} = 2\pi rh + 2\pi r^2

The volume (V) of a cylinder is base area times height. The lateral surface area covers the cylinder side. The total surface area includes both the lateral area and the circular top/bottom caps.

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