Chapter 12.4, Problem 1WE

To determine

To complete: Copy and complete the table for sphere.

Answer to Problem 1WE

Area is $196\pi$ and volume is $\frac{1372}{3}\pi$ .

Explanation of Solution

Given information:

The given radius is 7.

Calculation:

The Area of sphere is given by

  $A=4\pi r^2$ and

The Volume is given by

  $V=\frac{4}{3}\pi r^3$ .

Here $r=7$ . Therefore,

Area

  $\begin{array}{l}A=4\pi {\left(7\right)}^2\\ A=4\pi \times 49\\ A=196\pi \end{array}$ and

Volume

  $\begin{array}{l}V=\frac{4}{3}\pi {\left(7\right)}^3\\ V=\frac{4}{3}\pi \times 343\\ V=\frac{1372}{3}\pi \end{array}$

Hence,

Area is $196\pi$ and volume is $\frac{1372}{3}\pi$ .