Question

The surface area of a cylinder is given by the formula SA = 2r2 + 2rh. A cylinder has a radius of 12 cm and a surface area of 1,632 cm^2 . Find the height of the cylinder.

A. 52 cm

B. 56 cm

C. 59 cm

D. 34 cm

Answer 1

Using the given formula for the surface area of a cylinder, we can plug in the values we know and solve for the height h:

SA = 2r^2 + 2rh

1632 = 2(12^2) + 2(12)(h)

1632 = 288 + 24h

24h = 1344

h = 56 cm

the height of the cylinder is 56 cm.