MHT CET 2023 Mathematics question
Water is running in a hemispherical bowl of radius 180 cm at the rate of 108 cubic decimeters per minute. How fast the water level is rising when depth of the water level in the bowl is 120 cm? (1 decimeter = 10 cm)
Answer: (C)
Solution
Rate of inflow: . For a bowl of radius with water depth , the volume of water is . Then
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