Chapter 12, Problem 14CR

To determine

To find:The volumeof sphere in terms of $\pi$ .

Answer to Problem 14CR

The volume of the sphere is $288\pi {\text{ft}}^3$ .

Explanation of Solution

Given information:

The diameter of the sphere is $12\text{feet}$ .

Calculation:

Since the diameter of the sphere is twice of the radius.

  $d=2r$

Where,

• The diameter is d .
• The radius is r .

Write the expression to calculate the volume of the sphere.

  $V=\frac{1}{6}\pi d^3$

Substitute the values in the above expression.

  $\begin{array}{c}V=\frac{1}{6}\cdot \pi {\left(12\right)}^3\\ =\frac{1}{6}\cdot \pi \cdot 12\cdot {12}^2\\ =288\pi {\text{ft}}^3\end{array}$

Therefore, the volume of the sphere is $288\pi {\text{ft}}^3$ .