Chapter 12.4, Problem 10PPS

To determine

The volume of the figure:

  

Answer to Problem 10PPS

The volume of the sphere is $904.77i{n}^3$

Explanation of Solution

Given:

  

  $d=12in$

Concept Used:

The volume of the sphere is given by the following expression:

  $V=\frac{4}{3}\pi r^3$

Where,

Radius of sphere: $r$

Calculation:

The volume of the sphere is given by the following expression:

  $V=\frac{4}{3}\pi r^3$

Put the given data in eq.

  $\begin{array}{l}V=\frac{4}{3}\pi r^3\\ V=\frac{4}{3}\pi {\left(\raisebox{1ex}{$d$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right)}^3\\ V=\frac{4}{3}\pi {\left(\raisebox{1ex}{$12$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right)}^3\\ V=904.77i{n}^3\end{array}$

Conclusion:

Hence, the volume of the sphere is $904.77i{n}^3$