The total surface area of a cylinder is 8448 sq cm. If the radius of its base is 28 cm, what is its height?

Let the base radius be ‘r’ and height be ‘h’ and diameter be ‘d’

⇒ Given that

Radius of base = 28 cm

circumference of base

C=176cm

Curved surface area

SA=Circumference× height

SA=2× π× h

SA=176× h

Area at top and bottom circles

CA=π× 28× 28× 2

Total are of cylinder= Curved Surface Area + Area at top and bottom

∴Surface area SA =circumference× height
3520=176× h

h=20cm

∴ height of cylinder is 20cm