Question

A ball of radius 17 has a round hole of radius 8 drilled through its center. Find the volume of the resulting solid.

Answer 1

lid
= 4π17^3 /3 - π(2*15)*8^2 - 2π2(3*8^2 + 2^2)/6
= 4π/3 * [4913 - 1440 - 98]
= 3375 * 4π/3
= 4500π
= 14137.167 cubic whatever unit.

integration is the way asker's teacher/prof might require, but here i did using spherical cap's formula taken from wikipedia. of course it was derived using integration. i just took the easiest way, taking in all the processed material. asker never specified the approach he required.

Hope this helped ya! =)

Answer 2

this works for now.

Answer 3

think you can help with 1 more?