a boy collects rainwater in a rectangular surface of length 6m and breadth 4m and transfer it into cylindrical vessel of internal radius 20 cm .what will be the height of the water in cylindrical vessel if rainfall is 1cm
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volume of water= 600× 400×1 cm^2
volume in cylinder= πr^2h
= 22/7× 20 ×20×h
600×400= 22/7 ×20×20×h
240000×7/22×20×20=h
600×7/22= h
4200/22= h
2100/11= h
19.909= h
height= 19.90 cm
volume in cylinder= πr^2h
= 22/7× 20 ×20×h
600×400= 22/7 ×20×20×h
240000×7/22×20×20=h
600×7/22= h
4200/22= h
2100/11= h
19.909= h
height= 19.90 cm
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dimensions of the rectangular vessel
l= 6m =600cm, breadth=b = 4m=400cm , height =h= 1cm
dimensions of the cylinder
radius = r= 20cm
height = H cm
volume of water transfered into cylindrical vessel = volume of the water fall in rectangular vessel
πr²H = lbh
22/7 *20*20 *H = 600*400*1
H = (600*400*7)/(22*20*20)
after cancellation
H= 2100/11 cm
l= 6m =600cm, breadth=b = 4m=400cm , height =h= 1cm
dimensions of the cylinder
radius = r= 20cm
height = H cm
volume of water transfered into cylindrical vessel = volume of the water fall in rectangular vessel
πr²H = lbh
22/7 *20*20 *H = 600*400*1
H = (600*400*7)/(22*20*20)
after cancellation
H= 2100/11 cm
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