# Help Calc Maximization

1. Dec 15, 2003

### Timc150

Help!!! Calc Maximization

The question goes like this!! Take a sphere of radius R and insert a cone w/ max volume. ANd i have no idea why i am doin!!!! HELP!!!!!

2. Dec 15, 2003

### himanshu121

Relate the base radius with the height of cone and then to radius of sphere
u will get

$$r_{base radius}=h\tan\theta$$
$$h=2R\cos^2\theta$$

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

Convert h,r in terms of theta and
Max. V w.r.t $$\theta$$