Volume of a Cylinder Math Example 1

Follow the full solution, then compare it with the other examples linked below.

easy

A cylinder has a radius of 4 cm and a height of 10 cm. Find its volume. Use

\pi \approx 3.14

1
Step 1: Write the formula for the volume of a cylinder: $V = \pi r^2 h$ .
2
Step 2: Substitute the values: $V = \pi \times 4^2 \times 10 = \pi \times 16 \times 10 = 160\pi$ .
3
Step 3: Approximate: $V \approx 160 \times 3.14 = 502.4$ cm³.

Answer

V = 160\pi \approx 502.4

cm³.

The volume of a cylinder is the area of the circular base (

\pi r^2

) multiplied by the height (

h

). This formula makes intuitive sense: you are stacking up infinitely many thin circular disks of area

\pi r^2

to a total height

h

About Volume of a Cylinder

The amount of three-dimensional space inside a cylinder, found by multiplying the area of the circular base by the height.

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