Wednesday

April 1, 2015

April 1, 2015

Posted by **Adam** on Sunday, December 12, 2010 at 8:59pm.

- AP CALCULUS PLEASE HELP DUE TOMORROW! -
**drwls**, Sunday, December 12, 2010 at 10:04pmThat depends upon how thick you make the walls of the cone. They should have asked for the minimum surface area cone with that volume.

The surface area of a cone is:

A = pi s r

= pi*sqrt(r^2 + h^2)*r

where s is the slant height and h is the height of the axis.

The cone volume must satisfy (1/3)pi*r^2*h = 800 cm^3, so

h = 2400/(pi*r^2)

Write A as a function of r only and differentiate A(r). Set the derivative equal to zero and solve for r.

**Answer this Question**

**Related Questions**

Calculus - I actually have two questions: 4. An open box is to be made from a ...

Calculus - A metal cylindrical container with an open top is to hold 1 cubic ...

calculus - Find the dimensions of a right circular cone, that holds one liter ...

calculus - a. A closed cylindrical can is to hold 1000cm^3 of liquid. How should...

Math- Calculus - A company needs to produce a cylindrical can to hold water. It...

Math - Calculus I - Optimization Problem: Find the dimensions of the right ...

Calculus - 1. Chris makes an open-topped box from a 30-cm by 30-cm piece of ...

Calculus - Use cylindrical shells to find the volume V of a right circular cone ...

Calculus - Show that a right-circular cylinder of greatest volume that can be ...

math - what are the dimensions of the lightest rectangular box without an open ...