MHT CET 2025 Mathematics question
A spherical balloon is filled with cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases minutes after the leakage has begun, is
Answer: (D)
Solution
Volume after minutes: . At : . Since , m. Differentiating : , with . So
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