Mensurationhard · Past Paper
A solid cylinder has a total surface area of 462 cm². Its curved surface area is one-third of its total surface area. Find its volume.
A539 cm³
B308 cm³
C1078 cm³
D462 cm³
✓ Correct Answer: A — 539 cm³
CSA = 1/3 * 462 = 154. TSA = CSA + 2πr² = 462. 154 + 2πr² = 462 => 2πr² = 308 => r = 7. 2π(7)h = 154 => h = 3.5. Vol = π(7²)(3.5) = 539 cm³.
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