The sphere radius over the interval
.
The sphere volume is
cubic centimeters.
Intermediate value theorem:
\If
is continuous on the closed interval
,
, and
is any number between
and
, then there is at least one number in
such that
.
The volume of the sphere is
.
Find the volume of the sphere at
.

cubic centimeters.
The volume of the sphere at
.

cubic centimeters.
.
By intermediate value theorem, there must be some
in
, such that
.
There must be some
in
, such that
.