Chapter 12.6, Problem 13PPS

To determine

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

Answer to Problem 13PPS

680 in²

Explanation of Solution

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

  

Diameter of the hemisphere (d) = 17 in

Formula used:

Surface area of a hemisphere $=3\pi r^2$

And radius of the hemisphere (r) $=\frac{d}{2}$ , where r is the radius of the hemisphere and d is the diameter of the hemisphere.

Calculation:

  $\begin{array}{l}r=\frac{17}{2}\\ r=8.5\end{array}$

Surface area of given hemisphere

  $\begin{array}{l}=3\pi r^2\\ =3·\pi ·{\left(8.5\right)}^2\\ =3\times \pi \times 72.25\\ =680.9\\ \sim 680\left(\text{to nearest tenth}\right)\end{array}$

Hence, surface area of given hemisphere is 680 in².