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CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Q21 Marksrelated_rates

CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Question 2 (Applications Of Derivatives)

Find the rate of change of a sphere’s volume with respect to diameter when its radius is 5 cm.

✅ Step-by-Step Solution

Final Answer: 50π cm³/cm
  1. V=4πr³/3 and d=2r, so dV/dd=(4πr²)/2=2πr². At r=5 this equals 50π cm³/cm.

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