Question

Find the total surface area of this cone.

Leave your answer in terms of T.
24.in
SA =? - in2

Answer 1

SA = 360π in²

Explanation:

The slant height l is the hypotenuse of the right triangle inside the cone.

Using Pythagoras' identity to find l

l² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )

l =
`√(676)` = 26

Then

SA = πrl + πr²

= (π × 10 × 26) + (π × 10²)

= 260π + 100π

= 360π in²