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A cylindrical pipe has inner diameter of 4 cm and water flows through it at the rate of 20 metre per minute. How long would it take to fill a conical tank of radius 40 cm and depth 72cm? |
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Answer» `d= 4 cm` rate=`20m/(min) = 200 (cm)/(min)` `r= 2 cm` volume= `pi*r^2*h ` `= pi * (2)^2 * 2000 (cm)/(min)` volume of cone = `1/3 pi r^2 h` `= 1/3 xx 22/7 xx (40)^2 xx 72` `= 1/3 xx pi xx 1600 xx 72 cm^3` time taken by the pipe=`(1/3 xx pi xx 1600 xx 72)/( pi xx 4 xx 2000)` `25/5 min` `4 min 48 sec` Answer |
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