Chapter 12.6, Problem 1BCYP

To determine

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

Answer to Problem 1BCYP

3040 ft²

Explanation of Solution

Given: A figure of a sphere is given as follows.

  

Diameter of given sphere = 22 ft

Formula used:

Surface area of a sphere $=4\pi r^2$ , where r is the radius of the sphere.

Radius of a sphere $=\frac{d}{2}$ , where d is diameter of the sphere.

Calculation:

Radius of the sphere (r) = $\frac{22}{2}$ = 11 ft

Surface area of given sphere

  $\begin{array}{l}=4\pi r^2\\ =4·\pi ·{\left(22\right)}^2\\ =4\times \pi \times 484\\ =6082.1\\ \sim 6080\left(\text{to nearest tenth}\right)\end{array}$

Hence, surface area of given sphere is 6080 ft².