MHT CET 2026 Mathematics question

MathematicsApplication of DerivativesMHT CET 2026

If the rate of increase of surface area of a spherical balloon is /sec and rate of increase of volume of a spherical balloon is /sec, then the radius of the balloon at that time is...

Answer: (D)

Solution

For a sphere and . Differentiate with respect to time: and . Dividing, .

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Question ID VK-100939