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the base and top diameter of a frustum of a right circular cone are 14cm and 56cm respectively. If the height is 45cm, find the volume of the frustum.


Asked by simonbeu 31st January 2019, 9:17 PM
Answered by Expert
Cross section of frustum which is a part of cone is given in figure with dimensions given in the question.
since ΔAFE and ΔAGC are similar, we have begin mathsize 12px style fraction numerator h over denominator h plus 45 end fraction space equals space 7 over 28 space equals space 1 fourth space space space space o r space space 4 h space equals space h plus 45 space space space space space o r space space h space equals space 15 space c m end style
hence volume of frustum = begin mathsize 12px style 1 third straight pi open parentheses 28 cross times 28 cross times 60 space minus space 7 cross times 7 cross times 15 close parentheses space almost equal to space 48490 space cm cubed end style
Answered by Expert 31st January 2019, 9:52 PM
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