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The diameters of two circular ends of a ...

The diameters of two circular ends of a bucket are 44 cm and 24 cm and the height of the bucket is 35 cm . The capacity of the bucket is

A

31.7 litres

B

32.7 litres

C

33.7 litres

D

34.7 litres

Text Solution

Verified by Experts

The correct Answer is:
B

Here R=22 cm ,r = 12 cm and h = 35 cm
Capacity of the bucket `=1/3 pi h(R^2 +r^2 +Rr)cm^3`
`=1/3 xx 22/7 xx35xx[(22)^2 +(12)^2 +22 xx 12] cm^3`
`=((11)/(3)xx 892 )cm^3 =(110xx 892)/(3xx 1000)` litres = 32.7 litres.
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