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CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Q61 Marksrelated_rates

CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Question 6 (Applications Of Derivatives)

A cylindrical tank of radius 10 m receives sand at 314 m³/h. Find the approximate rate of increase of sand depth.

(A) 1.1 m/h
(B) 1 m/h
(C) π m/h
(D) π/2 m/h

✅ Step-by-Step Solution

Final Answer: 1 m/h

The volume is 100πh. Thus dh/dt=314/(100π) m/h, approximately 1 m/h.

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