Chapter 13.4, Problem 33SPR

To determine

To calculate:

Surface area of the given figure and round to the nearest tenth.

Answer to Problem 33SPR

Surface area of the given figure and round to the nearest tenth is $50.3f{t}^2$ .

Explanation of Solution

Given information:

  

Calculations:

A sphere with a diameter of $4$ feet has a radius that is equal to half its diameter. Thus, the radius of the sphere is $2ft$ .

The surface area, $SA$ of a sphere is given by the formula,

  $\begin{array}{l}SA=4\pi r^2\\ =4\pi {\left(2ft\right)}^2\\ =4\pi {\left(4ft\right)}^2\\ =50.3f{t}^2\end{array}$

Thus, Surface area of the sphere is $50.3f{t}^2$ .