Volume of a Spherical Water Tank (r = 7 m)

Exact: \(\dfrac{1{,}372}{3}\pi\) m³   Approx: ≈ 1,436.8 m³

Explanation

\[V = \frac{4}{3}\pi r^3\]

This is the formula for the volume of a sphere.

\[V = \frac{4}{3}\pi(7)^3\]

Substitute 7 for \(r\), the radius of the sphere.

\[= \frac{4}{3}\pi(343)\]

Evaluate the exponential expression: \((7)^3 = 7 \times 7 \times 7 = 343\).

\[= \frac{1{,}372}{3}\pi\]

Multiply: \(4(343) = 1{,}372\). Write the product so that \(\pi\) is the last factor.

\[\approx 1{,}436.8 \text{ m}^3\]

Use a calculator. The exact volume of the spherical tank is \(\dfrac{1{,}372}{3}\pi\) m³. To the nearest tenth, the volume is 1,436.8 m³.