Answer:
The difference is 117.3 cubic inches.
Step-by-step explanation:
Radius of cylinder = 4 inches
Height of cylinder = 3 inches
Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
Where r is the radius and h the height.
Volume of the given cylinder = [tex]\frac{22}{7}[/tex] x [tex](4)^{2}[/tex] x 3
= [tex]\frac{22}{7}[/tex] x 16 x 3
= 150.857
Volume of the given cylinder = 150.86 cube inches
Radius of the sphere = 4 inches
Volume of sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Volume of the given sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](4)^{3}[/tex]
= [tex]\frac{88}{21}[/tex] x 64
= 268.191
Volume of the sphere = 268.19 cube inches.
Difference between the volumes = 268.191 - 150.857
= 117.333
The difference is 117.3 cubic inches.
