# Volume by Cylindrical Shells (need verification)

A hole of radius $$\sqrt{3}$$ is bored through the center of a sphere of radius 2. Find the volume removed

4$$\pi$$$$\int$$$$\intx\sqrt{a^{2}-x^{2}}dx$$ from $$\sqrt{3}$$ to 2$$\sqrt{3}$$?

And then subtract this from the volume of the sphere?

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## Answers and Replies

or is it from route of 3 to 2?