Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0.03

image text in transcribed

image text in transcribed
A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.05 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h : height of can, r : radius of can Volume of a cylinder: V = Tr2 h Area of the sides: A = 2rrh Area of the top/bottom: A = TT2 To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents Check

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Basic Analysis I Functions Of A Real Variable

Authors: James K Peterson

1st Edition

1351679457, 9781351679459

More Books

Students also viewed these Mathematics questions