Ques. -23

Calculus Level 4

An inverted conical tank of radius 2 m 2m and height 4 m 4m is initially full of water has an outlet at bottom. The outlet is opened at some instant. The rate of flow through the outlet at time t t is ( 6 h 3 2 ) (6 \cdot h^{\frac{3}{2}}) , where h h is the height of water level above the outlet at time t t . then the time it takes to empty the tank is :


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π 9 u n i t s \frac{ \pi}{9} \ units 4 π 9 u n i t s \frac{4 \cdot \pi}{9} \ units 2 π 9 u n i t s \frac{2 \cdot \pi}{9} \ units 2 π 8 u n i t s \frac{2 \cdot \pi}{8} \ units

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1 solution

Tanishq Varshney
Feb 26, 2015

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