# calculus

find the circular cylinder of greatest volume that can be inscribed in a right circular cone with altitude 20 cm and diameter of base 10 cm.

so at a height h, the radius is 5(1-h/20)

check that.

VolumeCone= PIr^2 H
= PI h * 25(1-h/20)^2

find dV/dh, set to zero, solve for h.

A small furniture company calculates that it can sell 100x tables if the price is set at 200-4x dollars per?
table. the cost is as follows.
C(x) = 6000 + 10000x + 4000/3x.root x . find the optimum of tables and maximum possible profit.
calculus
word to word
due tomrrow
plz

1. 👍 0
2. 👎 0
3. 👁 59

## Similar Questions

1. ### Math - Calculus I

Optimization Problem: Find the dimensions of the right circular cylinder of greatest volume inscribed in a right circular cone of radius 10" and height 24"

asked by Alex on December 5, 2013
2. ### Calculus

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.

asked by Amy on January 12, 2012
3. ### mathe

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.

asked by ali on July 12, 2014
4. ### maths --plse help me..

Prove that the radius of the base of right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half that of the cone

asked by Anamika on December 20, 2012
5. ### calculus

Find the maximum volume of right circular cylinder that can be inscribed in a cone of altitude 12 cm and base radius 4 cm, if the axes of the cylinder and con coincide.

asked by Anh on December 9, 2011
6. ### Calculus

A cylinder is inscribed in a right circular cone of height 5.5 and radius (at the base) equal to 7. What are the dimensions of such a cylinder which has maximum volume?

asked by Anonymous on October 28, 2011
7. ### Math - Optomization

A cylinder is inscribed in a right circular cone of height 6.5 and radius (at the base) equal to 5.5. What are the dimensions of such a cylinder which has maximum volume?

asked by Anonymous on March 7, 2017

A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 8. What are the dimensions of such a cylinder which has maximum volume?

asked by Daniela Davila on May 1, 2008
9. ### Math: Calculus

A cylinder is inscribed in a right circular cone of height 3.5 and radius (at the base) equal to 7. What are the dimensions of such a cylinder which has maximum volume?

asked by REALLY NEED HELP!!!! on October 29, 2010
10. ### Calculus

A cylinder is inscribed in a right circular cone of height 6.5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume?

asked by Shannon on May 2, 2013
11. ### calculus...plz ans urgent

Find the dimensions of the right circular cylinder of greatest volume which can be inscribe in a right circular cone with radius of 5 inches and a hieght of 12 inches(hint:use similar triangle property).also draw a label

asked by daan on November 7, 2010

More Similar Questions