Solution Found!

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Change Question

Cylinder in a cone A right circular cylinder is placed

Chapter 7, Problem 47E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

A right circular cylinder is placed inside a cone of radius R and height H so that the base of the cylinder lies on the base of the cone.

a. Find the dimensions of the cylinder with maximum volume. Specifically, show that the volume of the maximum-volume cylinder is \(\frac{4}{9}\) the volume of the cone.

b. Find the dimensions of the cylinder with maximum lateral surface area (area of the curved surface).

Questions & Answers

QUESTION:

A right circular cylinder is placed inside a cone of radius R and height H so that the base of the cylinder lies on the base of the cone.

a. Find the dimensions of the cylinder with maximum volume. Specifically, show that the volume of the maximum-volume cylinder is \(\frac{4}{9}\) the volume of the cone.

b. Find the dimensions of the cylinder with maximum lateral surface area (area of the curved surface).

ANSWER:

Solution 47E Step 1: (a) Consider the base radius and height of the cone are R and H Let r and hBe the base radius and height of the cylinder

Add to cart

Study Tools You Might Need

Chapter: 6 Problem: 64P

Introductory Chemistry 5
Determine the number of moles of \(\mathrm{H}\) in each sample. (a) \(4.67 \mathrm{~mol} \mathrm{H}_{2} \mathrm{O}\) (b) \(8.39 \mathrm{~mol} \mathrm{NH}_{3}\) (c) \(0.117 \mathrm{~mol} \mathrm{~N}_{2} \mathrm{H}_{4}\) (d) \(35.8 \operatorname{mol} \mathrm{C}_{10} \mathrm{H}_{22}\)

Chapter: 8 Problem: 50P

Introductory Chemistry 5
PROBLEM 50P For the reaction shown, calculate the theoretical yield of the product in moles for each of the initial quantities of reactants. Ti(s) + 2 Cl2(g) ? TiCl4(s) (a) 2 mol Ti; 2 mol Cl2 (b) 5 mol Ti; 9 mol Cl2 (c) 0.483 mol Ti; 0.911 mol Cl2 (d) 12.4 mol Ti; 15.8 mol Cl2

Chapter: 12 Problem: 12.7

Chemistry 11
Calculate the vapor pressure of a solution made by dissolving 82.4g of urea (molar mass = 60.06 g/mol)in 212 mL of water at 35C. What is the vapor-pressure lowering?

Chapter: 4 Problem: 4.1.20

BSCS Biology: A Molecular Approach 9
In what ways is photosynthesis important to humans?

Chapter: 4 Problem: 22

Anatomy & Physiology 1
Striations, cylindrical cells, and multiple nuclei are observed in ________. a. skeletal muscle only b. cardiac muscle only c. smooth muscle only d. skeletal and cardiac muscles

Chapter: 6 Problem: 6

Biology: The Dynamics of Life 1
Enzymes are proteins that facilitate chemical reactions. Based on your knowledge of enzymes, what might the result be if one particular enzyme malfunctioned or was not present?

Chapter: 9 Problem: 1

Concepts of Biology 1
Figure 9.10 You isolate a cell strain in which the joining together of Okazaki fragments is impaired and suspect that a mutation has occurred in an enzyme found at the replication fork. Which enzyme is most likely to be mutated?

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back