MHT CET 2026 Mathematics question
A spherical balloon expands at a rate proportional to its surface area. Initially its radius is 2 cm and 5 minutes later it increases upto 7 cm, then surface area of spherical balloon after 12 minutes will be
Answer: (C)
Solution
Interpret the rate as the rate of change of volume: , i.e. (constant). So the radius grows linearly: . At , cm/min. At : cm. Surface area $S=4π
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