Question

Find the surface area of the figure in square inches.

Answer 1

The surface area of a cone is given by the sum of the areas of the lateral surface and the area of the circular base.

The area of the circular base is given by:

`\pi\cdot r^2`

Where r is the radius of the base.

The area of the lateral surface is given by:

`\pi rs`

Where s is the length of the slant.

Since s=17 in and the radius is half the diameter, r=8 in, the area of the cone is:

`\begin{gathered} A=\pi rs+\pi r^2 \\ =\pi(8)(17)+\pi(8)^2 \\ =136\pi+64\pi \\ =200\pi \\ =628.3185307\ldots \end{gathered}`

To the nearest hundredth, the area of the cone in square inches, is:

`628.32`