MHT CET 2025 Mathematics question

MathematicsDifferential EquationMHT CET 2025

The rate of change of volume of spherical balloon at any instant is directly proportional to its surface area. If initially its radius is 3 cm, after 2 minutes its radius becomes 9 cm, then radius of balloon after 4 minutes is

Answer: (C)

Solution

Given with and . Then , a constant: the radius grows linearly, . At : cm/min.

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Question ID VK-102424