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Question

# A hemispherical vessel of radius 1.4 m is filled with water at the rate of 1 m3/2 min. How much time will it take to fill ?

A
12 mins 30 sec
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B
11 mins 30 sec
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C
11 mins 10 sec
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D
12 mins 10 sec
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Solution

## The correct option is B 11 mins 30 secGiven, Solids: Hemisphere Radius, r=1.4 cm Rate of filling =1 m3/2 min Volume of hemispherical vessel =23πr3=23×227×1.4×1.4×1.4=5.74 m3 Time taken to fill vessel =5.471/2=5.74×2=11.48=11.5 min=11 mins 30 sec The time taken to fill is 11 mins 30 sec.

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