If a right circular cylinder of height 14 is inscribed in a sphere of radius 8, then the volume of the cylinder is:
Explanation:
DC is diameter of the cylinder. m∠ADC = 90° ∴ AC is the diameter of the sphere.
Thus, AC = 16 and AD = height of the cylinder = 14
DC2 = 162 – 142 = 60 ∴ Radius2 = 60/4 = 15 ∴ Volume of cylinder = πr2h = π × 15 × 14 = 660
Hence, option (d).
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