Question

what is the ratio of the total surface area to the lateral surface area of a cylinder whose radius is 20 cm and height 16cm

Answer 1

here is your answer

The relevant formulas for surface area of a cylinder are:

SA=2πrh+2πr2=2πr(h+r)
LA=2πrh
The requested ratio is then:

SALA=2πr(h+r)2πrh=h+rh
For the given cylinder, this yields 80 cm+20 cm16 cm=10020=5