Posted by **Sarah** on Saturday, April 17, 2010 at 12:42pm.

Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height.

(a) Show that the volume of the cone produced by the 180-degree sector is larger than the volume of the cone produced by the 120-degree sector.

(b) Find a sector of the same circle that will produce a cone whose volume is even larger.

(c) Express the volume of a cone formed from this circle as a function of the central angle of the sector used to form it, then find the sector that produces the cone of greatest volume.

## Answer This Question

## Related Questions

- geometry - 11. Infinitely many different sectors can be cut from a circular ...
- Math - Cone Problem Beginning with a circular piece of paper with a 4- inch ...
- PreCalculus - Cone Problem Beginning with a circular piece of paper with a 4- ...
- Geometry - A piece of paper in the form of a sector of a circle of radius 15 cm ...
- math - Dana takes a sheet of paper, cuts a 120-degree circular sector from it, ...
- Math - A paper cone has a base diameter of 8cm and a height of 3cm(a) use ...
- Math - I already posted this, but wanted to say that I have the answers and it ...
- math - A circular sector of central angle theta and 9 cm radius can be fashioned...
- maths - a paper cone has a base diameter of 8cm a height of 3cm. a)caculate the ...
- calculus - A paper cone is to be formed by starting with a disk of radius 9cm, ...

More Related Questions