Ximpledu

Volume from its Cross Sectional Area

See how to find the volume from its cross sectional area.
1 example and its solution.

Volume from its Cross Sectional Area

Formula


V = abS(x) dx
V: Volume
S(x): Cross sectional area at x

Definite Integral

Example

Water is filled into a tank below.
If the level of water is h,
then the surface area of water is eh - 1.
Find the volume of water in the tank when h = 3.

Solution