A Right Circular Cylinder Is Inscribed in a Sphere of Radius

Multiple Choice

A right circular cylinder is inscribed in a sphere of radius $r = 5 \mathrm {~cm}$ . Find the largest possible surface area of such a cylinder. Round the result to the nearest hundredth.

A) $157.08 \mathrm {~cm} ^ { 2 }$
B) $177.08 \mathrm {~cm} ^ { 2 }$
C) $187.08 \mathrm {~cm} ^ { 2 }$
D) $167.08 \mathrm {~cm} ^ { 2 }$
E) $197.08 \mathrm {~cm} ^ { 2 }$