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

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

#### Topics

Applications of Integration

### Discussion

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp

### Video Transcript

The first thing we know is what the graphical representation of this would look like. Then we know this is the origin zero commas here, which means now we need to figure out if why is a max than this is equal to in terms of this problem or my Ciro Divide by H minus zero times acts which is simply are over h comes act, which means using the formula V is pi times The intro from zero to age are over Age Thames ax squared DX We end up with R squared over age squared pi times 1/3 acts cube because remember using the power rule which is increasingly exploited by one and dividing by the new exponents which gives us when you plug in 1/3 pi r squared h because remember the our bottom bounded zero

#### Topics

Applications of Integration

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp