Volume Math Example 3

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

medium

A cylindrical water tank has radius

3

m and height

5

m. Find its volume in cubic meters (leave answer in terms of

\pi

1
Step 1: Recall the cylinder volume formula: $V = \pi r^2 h$ , where $r$ is the radius of the circular base and $h$ is the height.
2
Step 2: Substitute $r = 3$ m and $h = 5$ m: $V = \pi (3)^2 (5) = \pi \times 9 \times 5$ .
3
Step 3: Compute: $V = 45\pi$ m³ $\approx 141.4$ m³.

Answer

V = 45\pi \text{ m}^3

The volume of a cylinder equals the area of its circular base (

\pi r^2

) multiplied by its height. Leaving the answer in terms of

\pi

gives an exact result, which is preferred in mathematics unless a decimal approximation is specifically requested.

About Volume

The amount of three-dimensional space that an object occupies, measured in cubic units such as cm³.

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