A right circular cylinder has a volume of 90 cubic inches. Find the radius and height that will yield minimum surface area. I have already found the equation for volume and the surface area for this right circular cylinder in terms of radius "r" and height "h" for this problem which are: 1.)V=pir^2h 2.)SA with radius "r" and height "h"=2pir(h+r) I now need to find: 1.) The surface area of this right circular cylinder in terms of only radius "r", no height "h". 2.) The radius "r" and height "h" that minimize the surface area.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question

Hi there!

I need help with this question.

A right circular cylinder has a volume of 90 cubic inches. Find the radius and height that will yield minimum surface area.

I have already found the equation for volume and the surface area for this right circular cylinder in terms of radius "r" and height "h" for this problem which are:

1.)V=pir^2h

2.)SA with radius "r" and height "h"=2pir(h+r)

I now need to find:

1.) The surface area of this right circular cylinder in terms of only radius "r", no height "h".

2.) The radius "r" and height "h" that minimize the surface area.

Can you please help?

Thank You!

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education