The circumference of the base of a cone is 24 - inches. The siant height of the cone is 20 inches.

What is the surface area of the cone? Express the answer in terms of.

240 square inches

384 n square inches

480 square inches

624 + square inches

Answer: 384π inches

Step-by-step explanation:

the formula for surface area of a cone = 2πrh

Circumference = 2πr

24π = 2πr

r = 24π/2π

r = 12

the radius of the base = 12inches

Using pythagoras theorem,

20^2 - 12^2 = 400 - 144 = 256 = 16^2

The height of the cone = 16inches

Therefore, the surface area of the cone = 2πrh

= 2 * π * 12 * 16

=384π inches