fraction os a cylinders volume taken up by the sphere

Question

there is a cylinder with a diameter of 20cm and a height of 20cm. what fraction of the cylinders volume is taken up by the sphere if the sphere has a dimeter of 20cm and fits inside of the cylinder perfectly?

Answer 1

Calculate the volume of the cylinder. Then calculate the sphere. Set these numbers up as a ratio such as this:

Vol of sphere/vol of cylinder = X (percent sphere takes up of cylinder)/100

Cross multiply and divide as you would in a ratio.