How do you find the volume of a cylinder?

Multiply the area of the circular base (πr²) by the height: V = πr²h.

What is the lateral surface area of a cylinder?

The lateral (side) surface area is the area of the curved surface: 2πrh. Imagine unrolling the side into a rectangle with width 2πr and height h.

Free Volume of Cylinder Calculator

Calculate the volume and surface area of a cylinder from its radius and height.

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Radius

Height

Volume

502.6548

Lateral Area251.3274

Total Surface Area351.8584

Base Area50.2655

View formula & how it works →

How to Calculate the Volume of a Cylinder

Formula

V = π × r² × h

Where:

V = Volume

π ≈ 3.14159

r = radius of the base

h = height

Surface Area

Lateral area = 2πrh (the curved side)

Total area = 2πrh + 2πr² (sides + top + bottom)

Example Calculation

Find the volume of a cylinder with radius 4 and height 10.

01V = π × 4² × 10
02= π × 16 × 10
03= π × 160
04≈ 502.6548

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