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
.