Answer:
Volume of the cylinder = 250π inch²
Step-by-step explanation:
Surface area of the cylinder is given by,
Surface area = 4πr²
Here, r = radius of the sphere
Since, surface area = 100π square inches
100π = 4πr²
r² = 25
r = 5
From the picture attached,
Height of the cylinder = diameter of the sphere
= 2(r)
= 2(5)
= 10 inches
Volume of the cylinder is given by,
Volume = πr²h
Here, r = radius of the cylinder
h = height of the cylinder
Therefore, Volume of the cylinder = π(5)²(10)
= 250π square inches
