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Question
If the radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm, then the volume of the bucket in cubic centimeters, is
Options
60060
80080
70040
80160
Solution
Height of the bucket = 40 cm
Radius of the upper part of bucket = 35 cm
R1 = 35 cm and
R2 = 14 cm
The volume of the bucket
`=1/3pih (r_1^2 + r_2^2 +r_2^3)`
`=1/3 xx 22/7 xx 40 [(35)^2 + (14)^2 + (35 xx 14)]`
`=1/3 xx 22/7 xx 40 [1225 + 196 + 490]`
`=1/3 xx 22/7 xx 40 xx 1911`
`=(1681680)/21`
`= 80080 cm^2`
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