Question
A conical water tank has a radius of 7 meters and a
height of 24 meters. Water is being pumped into the tank at the rate of 20 cubic meters per minute. How long will it take to fill the tank completely?Solution
Volume of cone = (1/3)ΟrΒ²h, where r = 7 m and h = 24 m. Volume = (1/3) Γ (22/7) Γ 7Β² Γ 24 = 1232 mΒ³. Rate of pumping = 20 cubic meters per minute. Time taken = Volume / Rate = 1232 / 20 = 61.6 minutes. Correct answer: a) 61.6 minutes
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