💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

Find the volume of the described solid $ S $.A right circular cone with height $ h $ and base radius $ r $.

$V=\frac{1}{3} \pi r^{2} h$

01:46

Wen Z.

01:09

Amrita B.

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 2

Volumes

Missouri State University

Campbell University

Harvey Mudd College

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

05:56

Find the volume of the des…

01:15

Use cylindrical shells to …

04:52

Volume of a cone Use calcu…

04:21

Use the Theorem of Pappus …

04:55

Derive the formula for the…

06:31

01:28

The volume V of a circular…

00:34

Solve for the indicated va…

03:55

12:41

The surface area of a righ…

All right, We've got a question here that wants us to find the volume was solid s of a rectangular Excuse me. Right. Circular cone with high age and base. Our right first And sources we can calculate for our cross sectional area. You have the X. We know that the area of the cross section of a cone would just be a circle, which would be pi r squared. In this case, we would take our pie and we would take our our divided by age or height multiplied by X squared. We can get it to be right at the middle. Oh, to just consider to be a typical disk. So our area then would come out to be you square that you get pi r squared over h squared multiplied by X right now when you calculate volume, you would take the volume from us you wrote to age. They have x to your ex to be zero age I r squared each square squared Excuse me. Divided by h squared multiplied by X squared d of x Mhm. Then when we integrate this, we can pull out the pie or squared over h squared. You left with X queued over three. I'm sure the age to just be pi r squared over age square multiplied by H cube three So it will be equal to pi Our school h over. That will be your final answer. What? Third, I are your final answer for the volume. Uh, yeah. The describe solid s of a rectangular Excuse me. A right circular cone with high aging base radius R. All right, well, I hope that clarifies the question. Thank you so much for watching.

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

Find the volume of the described solid $ S $.A frustum of a right circul…

Use cylindrical shells to find the volume of the solid.

$ A $ right …

Volume of a cone Use calculus to find the volume of a right circular cone of…

Use the Theorem of Pappus to find the volume of the given solid.A cone w…

Derive the formula for the volume of a right circular cone ofheight $h$ …

Find the volume of the described solid $ S $.A cap of a sphere with radi…

The volume V of a circular cone is given by the formula $V=\frac{1}{3} \pi r…

Solve for the indicated variable.Volume of a Right Circular Cone$$\t…

Find the volume of the described solid $ S $.The base of $ S $ is a circ…

The surface area of a right-circular cone of radius $r$ and height $h$ is $S…