Chapter 12.6, Problem 2CYU

To determine

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

Answer to Problem 2CYU

460 in²

Explanation of Solution

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

  

Diameter of the hemisphere (d) = 14 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.

Calculation:

  $\begin{array}{l}r=\frac{14}{2}\\ r=7\end{array}$

Surface area of given hemisphere

  $\begin{array}{l}=3\pi r^2\\ =3·\pi ·{\left(7\right)}^2\\ =3\times \pi \times 49\\ =462\\ \sim 460\left(\text{to nearest tenth}\right)\end{array}$

Hence, surface area of given hemisphere is 460 in².