00:01
In first part, we have to write a function dr that gives the volume gained when the radius of the spare of r inches is increased by 3 inches.
00:09
We have given volume v is equal to 4 divided by 3 pi r cube.
00:15
Now dr will be equal to 4 divided by 3 pi multiplied by r plus 3 whole cube minus 4 divided by 3 pi r cube.
00:25
Now if we simplify this, we get this is equal to 4 divided by 3.
00:30
Pi r q plus 9 plus 9 r square plus 27 r minus r q this can be written as 4 divided by 3 pi 9 plus 9 r square plus 27 r or this can be written as 4 pi multiplied by 3 plus 3r is equal to dr.
00:59
In second part, we have to draw the graph of this function.
01:07
If we draw the graph of this function, the graph seems to be a parabola like this.
01:14
Now, in third part, we have to use the calculator to graphically find the amount of volume gained when a sphere with a 4 inches radius is increased by a 7 inches radius...