Answer:
The maximum volume of cone is 138.25 m³
m
m
Step-by-step explanation:
A right circular cone whose hypotenuse is m
It is revolved about one leg to generate a right circular cone.
Let radius be r m and height be h m
For right angle triangle,
Volume of generated cone
Differentiate w.r.t h
For maximum/minimum
<em>Using double derivative test </em>
At
so get maximum volume.
Dimension of cone:
m
m
The maximum volume of cone is 138.25 m³