1 Answer

Tish · Answer 1 · 2023-08-23T14:34:52+0000

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:

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