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Question

If the radii of the circular ends of a bucket of height 40cm are of lengths 35cm and 14cm, then the volume of the bucket in cubic centimetres, is _________.

A
60060
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B
80080
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C
70040
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D
80160
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Solution

The correct option is B 80080
Given:-
Height of bucket (h) =40 cm
r1=35cm
r2=14cm

To find:- volume of bucket

Solution:-
Volume of bucket =π3((r1)2+r1r2+(r2)2)×h

Volume of bucket=227×3(352+35×14+142)×40
=2221×1911×40
=880×91
=80080cm3

Hence, the volume of the bucket is 80080 cm3.

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