Posted by **Amy** on Thursday, January 12, 2012 at 6:02pm.

Show that a right-circular cylinder of greatest volume that can be inscribed in a right-circular cone that has a volume that is 4/9 the volume of the cone.

Please, help out, this is for a study guide for a quiz. :) Thank you.

- Calculus -
**Reiny**, Thursday, January 12, 2012 at 8:02pm
Amy, take a look at the solution I gave to the first of the "Related Questions" below.

It is the same kind of question except it has specific values.

Instead of a height of 12 and a radius of 4 for the cone, in your question you would have a height of H and a radius of R, where H and R are constants, that is, they are fixed values.

See if you can follow the same steps, then take the volume of the cone and the volume of the cylinder.

They should be in the ratio of 4:9

Get back to me if you run into problems, but give it a try.

## Answer this Question

## Related Questions

- mathe - Show that a right-circular cylinder of greatest volume that can be ...
- Math - Calculus I - Optimization Problem: Find the dimensions of the right ...
- Calculus - A right circular cone is inscribed in a sphere of radius r. Find the...
- Calculus - A right circular cone is inscribed in a sphere of radius r. Find the ...
- Calculus - Find the radius, volume, and hieght of the right- circlar cylindar ...
- math - A right circular cone is inscribed inside a sphere. The right circular ...
- Calculus - A cylinder is inscribed in a right circular cone of height 6.5 and ...
- Calculus - A cylinder is inscribed in a right circular cone of height 5.5 and ...
- calculus - Find the maximum volume of right circular cylinder that can be ...
- Math: Calculus - A cylinder is inscribed in a right circular cone of height 3.5 ...