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CBSE Class 12 Mathematics 2026 Main Paper 65/4/1 · Q61 Marksrelated_rates

CBSE Class 12 Mathematics 2026 Main Paper 65/4/1 · Question 6 (Applications Of Derivatives)

Find the surface area of a sphere when its volume and radius change at the same nonzero numerical rate.

✅ Step-by-Step Solution

Final Answer: 1
  1. The chain rule gives dV/dt=4πr² dr/dt. Cancel the nonzero radial rate to obtain area 4πr²=1.

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