Chapter 12, Problem 26SGR

To determine

To find the surface area of the given hemisphere.

Answer to Problem 26SGR

462 square inches

Explanation of Solution

Given:

  

A hemisphere:

Diameter, $(d)=14$ inches

Radius, $(r)=\frac{d}{2}$

  $\Rightarrow r=\frac{14}{2}$

  $\Rightarrow r=7$ inches

Formula used:

Surface area of a hemisphere $=3\pi r^2$ , where $r$ is the radius of the hemisphere.

Calculation:

Let $S$ be the surface area of the given hemisphere.

Now, the surface area of hemisphere is given by

  $S=3\pi r^2$

Putting the value of $r$ ,

  $\Rightarrow 3\times \frac{22}{7}\times {(7)}^2$

  $\Rightarrow 3\times 22\times 7$

  $\Rightarrow 462$ square inches

Conclusion:

Hence, the surface area of the given hemisphere is 462 square inches.