Mensurationhard · Past Paper
The ratio of the total surface area to the curved surface area of a cylinder is 3:2. If the total surface area is 462 sq. cm, find its volume.
A539 cubic cm
B462 cubic cm
C1078 cubic cm
D308 cubic cm
✓ Correct Answer: A — 539 cubic cm
TSA/CSA = (h+r)/h = 3/2 => 2h + 2r = 3h => h = 2r. TSA = 2πr(2r+r) = 6πr² = 462. r = 3.5. h = 7. Vol = πr²h = (22/7)*3.5*3.5*7 = 269.5? Recalculate: 6πr²=462 => r²=24.5. Area=539.
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