Problem

Suppose you make napkin rings by drilling holes w…

03:55

Problem 47 Hard Difficulty

Use cylindrical shells to find the volume of the solid.

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

Answer

$\frac{1}{3} \pi^{2} h$

More Answers

02:56

Wen Z.

Topics

Applications of Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 3

Volumes by Cylindrical Shells

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Anna Marie V.

Campbell University

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Watch More Solved Questions in Chapter 6

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Video Transcript

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.

Amrita B.

Topics

Applications of Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 3

Volumes by Cylindrical Shells

Top Calculus 2 / BC Educators

Anna Marie V.

Campbell University

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor