Question

a sphere has radius of 3 cm. what is the volume of the sphere? v = 288π cm³ v = 108π cm³ v = 9π cm³ v = 36π cm³

Explanation:

Step1: Recall the formula for the volume of a sphere

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

Step2: Substitute the given radius into the formula

Given \(r = 3\space cm\), substitute \(r\) into the formula: \(V=\frac{4}{3}\pi(3)^{3}\).

Step3: Calculate the value of \(V\)

First, calculate \((3)^{3}=3\times3\times3 = 27\). Then, \(\frac{4}{3}\times27= 36\). So, \(V = 36\pi\space cm^{3}\).

Answer:

\(V = 36\pi\space cm^{3}\)