Engineering
Mathematics
Tangent and Normal
Question

A right triangle whose hypotenuse is 3 m long is revolved about one of its legs to generate a right circular cone. The volume of the greatest cone in cu.m. made this way is

none

π3

2π3

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Solution
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V=13πx2y and x2+y2=3
V=13πy3y2                          
V(y)=π333y2=0y=1

 

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