Wednesday
August 20, 2014

Homework Help: Math

Posted by Kevin on Friday, March 15, 2013 at 5:18pm.

Optimization Problem

A right circular cylindrical can of volume 128tπ cm^3 is to be manufactured by a company to store their newest kind of soup. They want to minimize the surface area of the can to keep costs down.

What are the dimensions of the can with minimum surface area?

The volume of a cyllinder is V= πr^2h, where r is the radius and h is height. The surface area of a cylinder is SA= 2πr^2+2πrh, which is the sum of the area of the top and bottom (2 circles) and the area of the other curved sides (a rectangle, whose length is the circumference of the circles)

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Math - Calculus I - Optimization Problem: Find the dimensions of the right ...
Calculus - *Optimization problem* I'm okay at some optimization problems, but ...
Math Statistics - A company sells cans of chicken soup that that are advertised ...
Calculus - an open topped cylinder has a volume of 125 cubic inches. determine ...
geometry/algebra - I asked this question yesterday, and I'm trying to understand...
Statistics Question 3 - A company sells cans of chicken soup that that are ...
Geometry - Jake has two similar cylindrical pipes. The radius of the first ...
math - the volume V of a right circular cone is V=(1/3)π r^2 h. If the ...
calculus - right circular cylindrical tin cans are to be manufactured to ...
math - Beer cans are right circular cylinders. My Mathematical Mead, my ...

Search
Members