Answer:
Part 1) The volume of the cylinder is
Part 2) The volume of the sphere is
Part 3) Determine <em>the difference</em> of the volumes to find the leftover space
Part 4) The volume of space in the cylinder that is not being taken up by the sphere is about
Step-by-step explanation:
step 1
Calculate the volume of the cylinder
we have
-----> the height is the diameter of the sphere
substitute the values
step 2
Calculate the volume of the sphere
we have
substitute the values
step 3
Determine the difference of the volumes to find the leftover space
therefore
The volume of space in the cylinder that is not being taken up by the sphere is about