alleryVolume of cylinder inscribed in sphere of radius R, expressed using h (height of cylinder):
Aπh²(R - h)
BπR²h
Cπ × R²
Dπh(R² - h²/4)
Answer & Solution
Correct answer: D. πh(R² - h²/4)
For cylinder inscribed in sphere of radius R, with height h, the radius r satisfies r² + (h/2)² = R²
so r² = R² - h²/4. V = πr²h = πh(R² - h²/4). Maximum when h = 2R/√3.
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