Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Use cylindrical shells to find the volume of the solid.

$ A $ right circular cone with height $ h $ and base radius $ r $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

02:56

Wen Zheng

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 3

Volumes by Cylindrical Shells

Oregon State University

University of Michigan - Ann Arbor

Boston College

Lectures

04:44

Use cylindrical shells to …

06:04

0:00

Find the volume of the des…

01:00

05:56

01:19

04:52

Volume of a cone Use calcu…

using cylindrical shows implies that we have the region bounded on the top with wise h and on the bottom with why is h over? Our times acts. So in other words, we have height is H minus h over our times acts radius is X, which means RV is two pi times integral from zero to our times radius which is acts times height which is a TSH minus h over our times acts D x which expect which simplifies to two pi h again you can Paul all the Constance to make it more simple fired like this. Now we can integrate using the power rule which means be increased the exponents by one divide by the new exponents. Now we can plug end, we end up with 1/3 pi r squared times each.

View More Answers From This Book

Find Another Textbook

04:10

State the order of the given ordinary differential equation. Determine wheth…

02:49

Verify that the indicated function is an explicit solution of the given diff…

02:07

Determine by inspection at least two solutions of the given first-order IVP.…

02:46

Suppose that a large mixing tank initially holds 300 gallons of water in whi…

14:35

03:19

What function (or functions) do you know from calculus is such that its seco…

01:23

The function $y=\sin x$ is an explicit solution of the first-order different…

01:25

A series circuit contains a resistor and a capacitor as shown in Figure $1.3…

02:10

Solve the given differential equation by separation of variables.$$y \ln…