Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

solve below: A cylindrical can must contain a xed volume of 600cm3. In this problem you will nd the radius of the can which will

solve below:

image text in transcribed
A cylindrical can must contain a xed volume of 600cm3. In this problem you will nd the radius of the can which will minimize its surface area. The applet above shows a plot of the surface area function. Use the slider to visualize how the surface area changes for different values for the radius, and use the corresponding graph to estimate the optimal radius. Then use calculus to nd an exact answer. First, determine a function A(r) which gives the surface area of the can in terms of its radius (this is the function plotted above): Now use calculus to nd the exact radius 1' which minimizes this surface area: 7' : _ What is the exact height of the can of minimal surface area

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

Advanced Engineering Mathematics

Authors: ERWIN KREYSZIG

9th Edition

0471488852, 978-0471488859

More Books

Students also viewed these Mathematics questions

Question

What is the tare weight of a container?

Answered: 1 week ago