A cylinder has radius 2.5 cm and lateral area 20 pi cm^2. What is the surface area of the cylinder in terms of pi?

This is the concept of areas of solid materials; the surface area of the cylinder whose radius is 2.5 cm and lateral area is 20 pi cm^2 will be: Surface area of cylinder is given by:

SA = (area of cyclic sides) + (lateral area)

SA=2πr^2+πrl

Area of the cyclic sides will be:

Area=2πr^2

=2*π*2.5^2

=12.5π cm^2

The lateral area is given by:

Area=20π cm^2

Therefore the surface area of cylinder will be:

SA = (12.5π+20π) cm^2

SA=32.5π cm^2

The answer is 32.5π cm^2