Question

Find the surface area of the cone. Round your answer to the nearest hundredth.A.193.00 yd?B.606.32 yd?C.938.29 yd?D. 6,735.57 yd?

Answer 1

Step-by-step explanation

The surface area of a cone is given by:

`S=\pi\cdot r^2+\pi\cdot r\cdot√(h^2+r^2).`

Where h is the height and r is the radius.

In this problem, we have:

• r = 8 yd,

,

• h = 14 yd.

Replacing these data in the equation above, we get:

`S=\pi\cdot(8\text{ }yd)^2+\pi\cdot8yd\cdot\sqrt{(8\text{ }yd)^2+(14\text{ }yd)^2}\cong606.32\text{ }yd^2.`Answer

B. 606.32 yd²