Chapter 12.6, Problem 3CYU

To determine

To find the surface area of given sphere to the nearest tenth.

Answer to Problem 3CYU

450 yd²

Explanation of Solution

Given: The area of the great circle is given as $36\pi$ yd².

Formula used:

Surface area of a sphere $=4\pi r^2$

And area of great circle of a sphere $=\pi r^2$ , where r is the radius of the sphere.

Calculation:

Surface area of given sphere,

  $\begin{array}{l}=4\pi r^2\\ =4·\pi r^2\\ =4\times 36\pi \\ =452.4\\ \sim 450\left(\text{to nearest tenth}\right)\end{array}$

Hence, surface area of given sphere is 450 yd².