Water flows out at the rate of 10 , m/min fro | vedclass

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(C) Radius of the cylindrical pipe $r_p = 2.5 \, mm = 0.25 \, cm$.Length of water column flowing in one minute $h_p = 10 \, m = 1000 \, cm$.Volume of

Vedclass · Accepted Answer

$51.2$

Vedclass · Answer

(C) Radius of the cylindrical pipe $r_p = 2.5 \, mm = 0.25 \, cm$.Length of water column flowing in one minute $h_p = 10 \, m = 1000 \, cm$.Volume of water flowing out in one minute $V_p = \pi r_p^2 h_p = \pi (0.25)^2 (1000) = 62.5 \pi \, cm^3$.Radius of the conical tank $R = 20 \, cm$ and depth $H = 24 \, cm$.Volume of the conical tank $V_t = \frac{1}{3} \pi R^2 H = \frac{1}{3} \pi (20)^2 (24) = 3200 \pi \, cm^3$.Time taken to fill the tank $T = \frac{V_t}{V_p} = \frac{3200 \pi}{62.5 \pi} = 51.2 \, min$.

Water flows out at the rate of $10 \, m/min$ from a cylindrical pipe of diameter $5 \, mm$. Find the time taken to fill a conical tank whose diameter at the surface is $40 \, cm$ and depth is $24 \, cm$ (in $min$)?

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