- #1

Wormaldson

- 21

- 0

## Homework Statement

The cross section of a canal can be modeled by a parabola.

The canal is 80 m wide at ground level and 20 m deep at its lowest point.

The canal is 0.8 km long.

Find the volume of water in the canal when it is full to ground level.

## Homework Equations

Will add them once I find out what they actually are.

## The Attempt at a Solution

I've deduced so far that the derivative of the parabola (if that's even relevant to the question) will cross the x-axis axis at the vertex/lowest point of the canal. This point is at 40 metres across.

Problem is, I don't know what to do with this information. I'm assuming I'm supposed to construct the equation of the parabola somehow, but I don't know how to do that.

Any help would be much appreciated.