Chapter 12.3, Problem 3PSA

To determine

To find: The radius of a sphere whose surface area is $144\pi .$

Answer to Problem 3PSA

The radius of a sphere is 6.

Explanation of Solution

Given Information:

Surface area of a sphere $\left(SA\right)=144\pi$

Formula used:

Surface area of a sphere $\left(SA\right)=4\pi r^2$

  $"r"$ is the radius of a sphere

Calculation:

We know that, surface area of a sphere $\left(SA\right)=4\pi r^2$

  $"r"$ is the radius of a sphere

As the surface area is given as $144\pi$

  $\begin{array}{l}\therefore 144\pi =4\pi r^2\\ \therefore r^2=\frac{144\pi }{4\pi }\\ \therefore r^2=36\\ \therefore r=6\end{array}$

Hence, the radius of a sphere with surface area $144\pi$ is 6.