This is an example of calculation using integral
A ball is filled by water until 5/7 of height. Calculate the volume of ball if the radius of the ball is 7 cm
Okay. First step.
We would to divide this ball becoming 2 frustum. A and B
We know that volume A is 1/2 * 4/3 * phi * R^3
So volume A = 1/2 * 4/3 * 22/7 * 7 * 7 * 7
volume A = 718.67 cm3
For volume B, we will use integral
we know that x^2 + y^2 = r^2 (Pythagoras)
Volume B =
So total volume water is volume A + volume B = 856.67 cm3
