Question

A right circular cone has a volume of 192pi cm cubed. Find the radius and the height that minimize its surface area.

Answer 1

\[V=\pi r ^2 \frac{h}{3}\]

Answer 2

\[192=\pi r ^2 \frac{h}{3}\]

Answer 3

\[576=\pi h r ^2\]

Answer 4

\[h=\frac{576}{\pi}r^{-2}\]

Answer 5

I am thinking of this, then direivative for critical numbers,