Question

the radius, r, of a sphere is 5.2 mm. 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 = □ mm³

Explanation:

Step1: Recall 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 \( R = 5.2\) mm and \(\pi=3.14\). First, calculate \(R^{3}\): \(R^{3}=(5.2)^{3}=5.2\times5.2\times5.2 = 140.608\).
Then, substitute into the formula: \(V=\frac{4}{3}\times3.14\times140.608\).
Calculate \(\frac{4}{3}\times3.14 = 4.1866\cdots\).
Then \(V = 4.1866\cdots\times140.608\).
\(V=589.0\) (rounded to the nearest tenth).

Answer:

\(589.0\)