Question

a sphere has a radius of 4 in. which equation finds the volume of the sphere?

$v = \frac{2}{3}\pi(8)^{3}$

$v = \frac{4}{3}\pi(4)^{3}$

$v = \frac{2}{3}(8)^{3}$

$v = \frac{4}{3}(4)^{3}$

Explanation:

Step1: Recall the volume formula for a sphere

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

Step2: Substitute the given radius into the formula

Given that the radius \(r = 4\) in. Substituting \(r = 4\) into the formula \(V=\frac{4}{3}\pi r^{3}\), we get \(V=\frac{4}{3}\pi(4)^{3}\).

Answer:

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