Question

42. A cylinder has a base of 36 π in² and a volume of 432π in³. What is the surface area of the same cylinder? *

72 π in²
144 π in²
216 π in²
304 π in²

Answer 1

216π in²

Explanation:

Base area = π × r²

36 π = π × r²

r² = 36

r = 6

Volume = base area × height

432 π = 36 π × height

height = 12

Surface area:

2 × π × r × (r + h)

2π × 6 × (6 + 12)

216π