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)


r=7cm.


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