What is the height of a solid cylinder of radius 5 cm and total surface area is 660 sq cm?

Let the height and radius and radius of solid cylinder be h and r cm respectively
Given that, radius (r) = 5 cm
and total surface area = 660 cm²
⇒ 2πrh + 2πr² = 660
⇒ 2πr(h + r) = 660
⇒ (h + 5) = 330/5π = 330/5 x 7/22
⇒ h = 66 x (7/22) - 5 = 21 - 5
∴ Required height = 16 cm