Chapter 12.6, Problem 16PPS

To determine

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

Answer to Problem 16PPS

120 in²

Explanation of Solution

Given: The area of the great circle is given as $40$ in².

Formula used:

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

And area of great circle of a hemisphere $=\pi r^2$ , where r is the radius of the hemisphere.

Calculation:

Surface area of given hemisphere,

  $\begin{array}{l}=3\pi r^2\\ =3·\pi r^2\\ =3\times 40\\ =120\end{array}$

Hence, surface area of given hemisphere is 120 in².