Question

The sum of the height and the radius of the base of a right circular cone is 9 inches. What is the maximum volume of the cone?

Answer 1

So first, we have the equation for the volume of a cone,
\[V = \frac{ \pi r^2 h }{ 3 }\]
Then, you were given an additional constraint that,
\[h+r = 9\]
Thus, we know that,
\[h=9-r\]
Can you work it out from there?