Mensurationhard · Past Paper
A cylinder of radius r and height h is exactly the same surface area as a cube of side s. Find s in terms of r and h.
Asqrt(πr(r+h)/3)
Bsqrt(2πr(r+h)/3)
Csqrt(πr(r+h)/6)
Dsqrt(2πr(r+h)/6)
✓ Correct Answer: A — sqrt(πr(r+h)/3)
6s² = 2πr(r+h) => s² = 2πr(r+h)/6 = πr(r+h)/3 => s = sqrt(πr(r+h)/3).
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