## Trending News

Anonymous

# A cylindrical drill with radius 5 makes hole through the center of a sphere of radius 6. Find...contd!!?

A cylindrical drill with radius 5 is used to bore a hole throught the center of a sphere of radius 6. Find the volume of the ring shaped solid that remains.

### 1 Answer

Relevance

- ToddioLv 61 decade agoFavorite Answer
Cool problem.

Do it as a rotation and use symmetry to calculate the hemisphere.

Use the equation:

x^2 + y^2 = 6^2 for the hemisphere for y > 0

Use

x=5 for the cylinder.

Rotate them about the y-axis

Integrate the difference between the volume of the first and the second from y = 0 to y = sqrt(36/25)

Lots of algebra, but that should yield you your result.

BTW can do the same about the x axis.

- Login to reply the answers

Still have questions? Get your answers by asking now.