The word inscribed means that the sphere is inside the cylinder and its diameter is equal to the height and diameter of the cylinder. The surface area of the sphere is equal to SA (sphere) = πd² where d is the diameter. That of the cylinder is, SA (cylinder) = πd(h + d/2) Since h is also equal to d SA (cylinder) = πd(d + d/2) = 3πd²/2 Therefore, the surface area of the cylinder is approximately 1.5 times that of the sphere.
