What is the surface area of the right cylinder pictured below?

The surface area of a cylinder can be determined with
sa = surface area of sides + surface area of top and bottom
sa = 2πrh + 2πr²

Identify the component of the cylinder
r = a = 5 cm
h = b = 10 cm

Calculate the surface area
sa = 2πrh + 2πr²
sa = (2 × π × 5 × 10) + (2 × π × 5²)
sa = 100π + 50π
sa = 150π

The surface area is 150π cm². The answer is option c.