Answer:
Part A) The volume of the basketball is
Part B) The volume of the space not occupied by the ball is
Step-by-step explanation:
step 1
Find the length side of the cube (box)
we know that
The volume of a cube is equal to
where
b is the length side of the cube
we have
so
step 2
Find the volume of the basketball
we know that
The volume of a sphere (basketball) is equal to
we have that
The diameter of the basketball is equal to the length side of the cube
so
substitute
step 3
Find the volume of the space not occupied by the ball
we know that
The volume of the space not occupied by the ball is equal to the volume of the box minus the volume of the ball
so