00:01
Hello, let's look at the question we have been given to consider a solid obtained by rotating the region along the given groups about 3 is equal to 10, y is equal to 5, a to the power minus x, y is equal to 5, x is equal to 3.
00:19
We have to find the volume of the solid.
00:21
Let's see how we can do this.
00:24
To find the volume of the solid obtained by rotating the region, the cylindrical shape will be formed by taking multiple strips along x -axis and rotating them along the line b is equal to 10.
00:34
The height of each cell will be given by the difference between the y values of the curves, y is equal to 5, a to the power minus x, and at y is equal to 3 and x is equal to, at y is equal to 5 and x is equal to 3, the radius of each cell will be distanced from the line curve x is equal to 3.
00:52
Let's calculate the volume using the integration.
00:54
The radius of this cell is given by r is equal to 10 minus x, where x changes from 0 to 3.
01:01
The height of the shell is given by 5, a to the power minus x, minus 5...