Math
posted by jonh .
Can in a Cone
Find the volume of the largest can that can fit entirely under a cone with volume 900 cubic cm.
1.draw pictures of at least THREE different cases (including the endpoints if any).
2. define all variables CLEARLY (with words) and then use those variables consistently.
3. Employ calculus to find the OPTIMAL case (which will be either a critical point or an endpoint).
Respond to this Question
Similar Questions

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 … 
Geometry
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 … 
Calculus
Given a right circular cone, you put an upsidedown cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upsidedown cone to have … 
calculus
Given a right circular cone, you put an upsidedown cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upsidedown cone to have … 
geometry
Two cones are similar. The larger cone, R, has a volume of 1331 cubic feet and the smaller cone, S, has a volume of 64 cubic feet. Find the scale factor of Cone R to Cone S. 
Math
A cone has a volume of 41 cubic meters. If cut the cone in half, what would be the volume of the cone? 
7th gmath
An icecream shop offers a small size cone and a large size cone. The height of the large cone is 2 times the height of the small cone. The radius of the large cone is 2 times the radius of the small cone. Which statement is true about … 
Math
Can in a Cone Find the volume of the largest can that can fit entirely under a cone with volume 900 cubic cm. 1.draw pictures of at least THREE different cases (including the endpoints if any). 2. define all variables CLEARLY (with … 
Math
the formula for the volume of a cone is v=1/3pir^2h. The volume cone x is 2 times the volume of cone Y. Why the height of cone X is 2 times the heigh of the cone Y, and the radius of cone X is the same as the radius of cone Y. 
Calculus: Optimization
I have no idea how to approach this problem, if someone knows just how to relate h, r with H,R, that would be extremely helpful and I can workout the rest! Thank you in advance. Given a right circular cone, you put an upsidedown cone …