MHT CET 2026 Mathematics question
A spherical mothball has initial radius 3 cm. Due to evaporation, the radius of the ball reduces to 1 cm in 4 months. In how many months would the mothball evaporate completely if the volume is lost at a rate proportional to the surface area ?
Answer: (A)
Solution
with : , so the radius decreases at a constant rate: . At , : cm/month. The ball vanishes when : \frac$
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