Chapter 12, Problem 9RP

To determine

To Calculate: The volume of a sphere

Answer to Problem 9RP

The volume of a sphere is $36\pi$

Explanation of Solution

Given information:

The surface area of a sphere is $36\pi$

Formula used:

Volume of sphere = $\frac{4}{3}\pi a^3$

(Where “ a ” is side)

Calculation:

Here, surface area of sphere = $36\pi$

  $4\pi a^2=36\pi$

(Where “ a ” is side)

  $a=3$

So that, volume of sphere = $\frac{4}{3}\pi a^3$

(Where “ a ” is side)

  → $\frac{4}{3}\times \pi \times {\left(3\right)}^3$

  → $36\pi$

Conclusion: Hence, the volume of a sphere is $36\pi$