# Solution: How fast is the water level rising when the water is 4 m deep?

Water is flowing into a conical cistern at the rate of 8 m3/min. If the height of the inverted cone is 12 m and the radius of its circular opening is 6 m. How fast is the water level rising when the water is 4 m deep?

#### Problem Statement: EE Board October 1993

Water is flowing into a conical cistern at the rate of 8 m3/min. If the height of the inverted cone is 12 m and the radius of its circular opening is 6 m. How fast is the water level rising when the water is 4 m deep?
• A. 0.64 m/min
• B. 0.56 m/min
• C. 0.75 m/min
• D. 0.45 m/min

The water level rising at the rate 0.64 m/min

Solution:

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