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Explanation:

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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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