A cylindrical vase has a diameter of 4 inches. At the bottom of the vase, there are 6 marbles, each of diameter 2 inches. The vase is filled with water up to a height of 8 inches.

What is the volume of water in the vase?

Question

A cylindrical vase has a diameter of 4 inches.  At the bottom of the vase, there are 6 marbles, each of diameter 2 inches. The vase is filled with water up to a height of 8 inches.
 
What is the volume of water in the vase?

anonymous · Answer

Okay so firstly you will want to calculate the entire volume within the vase, secondly calculate the volume taken up by the marbles and subtract one from the other.

anonymous · Answer

What formula should I use to find the volume of the vase

anonymous · Answer

The key is that it is a cylinder, i.e. you may use $$\pi*r^2h$$

anonymous · Answer

so then how would you calculate the  volume of the second one?

anonymous · Answer

That volume is the water + marbles, thus you need to calculate the marbles volume and subtract it from the volume you just calculated

anonymous · Answer

The formula for volume of a sphere is 4/3*pi*r^3