Question

the radius, r, of a sphere is 5.2 m. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate computations.) v = □ m³

Explanation:

Step1: Write the formula for the volume of a sphere

The formula for the volume of a sphere is \( V=\frac{4}{3}\pi R^{3}\).

Step2: Substitute the given values

Given \( R = 5.2\) m and \(\pi=3.14\), substitute into the formula:
\( V=\frac{4}{3}\times3.14\times(5.2)^{3}\).
First, calculate \( (5.2)^{3}=5.2\times5.2\times5.2 = 140.608\).
Then, \( \frac{4}{3}\times3.14\times140.608=\frac{4\times3.14\times140.608}{3}\).
\(4\times3.14 = 12.56\), and \(12.56\times140.608=1766.03648\).
\(V=\frac{1766.03648}{3}\approx588.7\)

Answer:

\(588.7\)