Answer:
SA = 200π cm²
Step-by-step explanation:
The surface area is calculated as
SA = area of base + area of curved surface
= πr² + πrs ( r is the radius and s the slant height )
Using Pythagoras' identity in the right triangle to find s
s² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )
s = [tex]\sqrt{289}[/tex] = 17
SA = π × 8² + π × 8 × 17
= 64π + 136π
= 200π cm²
