Q. 204.0( 4 Votes )

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Answer :

The bucket is in the shape of a frustum of a cone.

Given: h(height) =15cm

R(larger) =14cm
r(smaller)= r cm(assume)

Volume of frustum of cone =cm3 (given)

r2 + 14r + 196=343

r2 + 14r + 196-343=0

r2 + 14r-147=0

r2 + 21r-7r-147=0

r(r + 21) -7(r + 21)=0

(r-7)(r + 21)=0

There are two values of r possible r = 7 and r = -21

r=-21(neglected as negative value of r is not possible)


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