SOLUTION: A jewelry bead is formed by drilling a hole from the center of a sphere with a 1 cm radius. Find the size of the hole such that exactly half of the volume is removed.

Question 1006500: A jewelry bead is formed by drilling a hole from the center of a sphere with a 1 cm radius. Find the size of the hole such that exactly half of the volume is removed.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Formula for the volume of
a sphere = 4/3 Pi r^3
The volume of a sphere with
a radius of 1 cm
= 4/3 pi 1^3
= 4/3 pi.
If a hole is drilled removing half
the volume of the said sphere, the
volume of the hole equals =
1/2 x 4/3pi
= 2/3pi
or 2.09 cm^3 (2 decimal places)
Hope this helps :-)
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