Chapter 12.6, Problem 10PPS

To determine

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

Answer to Problem 10PPS

50 ft²

Explanation of Solution

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

  

Radius of the sphere (r) = 2 ft

Formula used:

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

Calculation:

Surface area of given sphere

  $\begin{array}{l}=4\pi r^2\\ =4·\pi ·{\left(2\right)}^2\\ =4\times \pi \times 4\\ =50.26\\ \sim 50\left(\text{to nearest tenth}\right)\end{array}$

Hence, surface area of given sphere is 50 ft².