Answer:
The answer in the procedure
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
so
and
The volume of the original cylinder is equal to
If the cylinder is scaled proportionally by a factor of k
then
the new radius is ------>
the new height is ------>
The volume of the scaled cylinder is equal to
substitute the values
Remember that
so
substitute
The volume of the scaled cylinder is equal to the scale factor elevated to the cube multiplied by the volume of the original cylinder