Thread: volume of sphere with hole in it

A ball of radius 13 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
so volume of a sphere 4/3pi(r^3)
but if u take the volume of both and subtract its not right

Originally Posted by dat1611

A ball of radius 13 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
so volume of a sphere 4/3pi(r^3)
but if u take the volume of both and subtract its not right

show what you did.

Originally Posted by dat1611

A ball of radius 13 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
so volume of a sphere 4/3pi(r^3)
but if u take the volume of both and subtract its not right

see here

CB

4/3pi(13)^3-4/3pi(7)^3

8788pi/3-1372pi/3

2472pi

Originally Posted by dat1611

4/3pi(13)^3-4/3pi(7)^3

8788pi/3-1372pi/3

2472pi

the part that's drilled out is not a sphere.

another link ...

http://www.mathhelpforum.com/math-he...ed-sphere.html

Originally Posted by dat1611

A ball of radius 13 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid

can anyone give me an answer for this

The volume of the solid is given by: (Do you see why?)