Question

Chef Pierre can do something unique. Using a secret process, he can bake a nearly perfectly spherical pie consisting of a vegetable filling inside a thick crust. The radius of the whole pie is 12 cm, and the radius of the filling is 8 cm. What is the volume of the crust alone, to the nearest unit? Use π ≈ 3.14.

Answer 1

ok!
to do this ... u must
volume of the pie - volume of the filling
and a volume of a sphere is given by
\[A = \frac{ 4 }{ 3 } \pi r^{3}\]
so
if r = radius of the pie
and
r note = radius of the filling then

answer
\[\frac{ 4 }{ 3 } \pi r^{3} - \frac{ 4 }{ 3 } \pi r _{o}^{3}\]
now
\[\frac{ 4 }{ 3 } \pi ( r^{3} - r_{o}^{3} )\]

which is
4/3 x pi ( 12^3 - 8^3)
4/3 pi (1216
so the answer is
5090 . 98 cubic centimeters

hope this will help ya! :)