A cylindrical vase has a diameter of 6 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 10 inches.

What is the volume of water in the vase?

Question

A cylindrical vase has a diameter of 6 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 10 inches.
 
What is the volume of water in the vase?

anonymous · Answer

volume of water=vol of cylinder till 10 inc-vol of the 6 marbles

anonymous · Answer

But I'm confused on how to find the volume of the marbles?

mertsj · Answer

The marbles are spheres.  The volume of a sphere is
$$V=\frac{4}{3}\pi r^3$$

mertsj · Answer

There are 6 marbles and their radius is 1 so replace r with 1 in the formula and multiply the answer by 6 since there are 6 marbles.  That will be the volume of the marbles.

anonymous · Answer

so the volume of the marbles would end up becoming 75.36

mertsj · Answer

$$V _{m}=6(\frac{4}{3})\pi (1)^3=8\pi $$

anonymous · Answer

Would i divide the 42.39 that i got by the 25.12 i got with the  8$$\pi$$ ?

mertsj · Answer

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