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Question

# Water flows at the rate of 10 m per mins from a cylindrical pipe of radius 2.5 mm. A conical vessel of diameter 40 cm and depth 24 cm is filled with water flowing from this pipe. The time taken to fill the conical vessel is:

A
< 30 mins
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B
30 < t < 50 mins
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C
50 < t < 75 mins
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D
>75 mins
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Solution

## The correct option is C 50 < t < 75 minsArea=πr2=6.25π Rate of flow= (πr2x1000) mm3/min =6250π mm2/min Volume of cone=13 πr2h = 13 π (200)2x 240 mm3 =80πx40000 =3200000π mm3 Thus, total time taken is: (Volume of cone in mm3)(Rate of water flow in mm3/min) = 51.2min Thus answer option (c) is correct.

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