Geometry
posted by Sarah .
Infinitely many different sectors can be cut from a circular piece of paper with a 12cm radius, and any such sector can be fashioned into a paper cone with a 12cm slant height.
(a) Show that the volume of the cone produced by the 180degree sector is larger than the volume of the cone produced by the 120degree 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.

Geometry 
Ms. Sue
Reiny answered this for you a couple of days ago.
http://www.jiskha.com/display.cgi?id=1271347261
Respond to this Question
Similar Questions

math
Dana takes a sheet of paper, cuts a 120degree circular sector from it, then rolls it up and tapes the straight edges together to form a cone. Given that the sector radius is 12 cm, find the height and volume of this paper cone. 
geometry
11. Infinitely many different sectors can be cut from a circular piece of paper with a 12cm radius, and any such sector can be fashioned into a paper cone with a 12cm slant height. (a) Show that the volume of the cone produced by … 
math
A circular sector of central angle theta and 9 cm radius can be fashioned into a paper cone with volume 100 cm^3. Find all possible values of theta. 
PreCalculus
Cone Problem Beginning with a circular piece of paper with a 4 inch radius, as shown in (a), cut out a sector with an arc of length x. Join the two radial edges of the remaining portion of the paper to form a cone with radius r and … 
Math
Cone Problem Beginning with a circular piece of paper with a 4 inch radius, as shown in (a), cut out a sector with an arc of length x. Join the two radial edges of the remaining portion of the paper to form a cone with radius r and … 
Math
I already posted this, but wanted to say that I have the answers and it is 1.68 is less than or equal to x is less than or equal to 9.10 Cone Problem Beginning with a circular piece of paper with a 4 inch radius, as shown in (a), … 
calculus
A paper cone is to be formed by starting with a disk of radius 9cm, cutting out a circular sector, and gluing the new edges together. The size of the circular sector is chosen to maximize the volume of the resulting cone. How tall … 
Geometry
A piece of paper in the form of a sector of a circle of radius 15 cm is rolled into a cone. Calculate the volume of the cone if the angle of the sector is 240 degrees. 
Math
A paper cone has a base diameter of 8cm and a height of 3cm(a) use Pythagoras theorem to calculate it's slant height (b)if the cone is cut and opened out into the sector of a circle what is the angel of the sector 
maths
a paper cone has a base diameter of 8cm a height of 3cm. a)caculate the volume of the cone in terms of pie b)if the cone is cut and opened out into the sector of a circle.what is the angle of the sector