Question

A solid cylinder has total surface are 462cm^2.It's curved surface area is one third of the total surface area. Find it's radius,height,volume

Answer 1

Let the radius and height of the cylinder be r cm and h cm respectively.
Given, Total surface area of the cylinder = 462 cm2
∴ 2π r (r + h) = 462 cm2 ...(1)
Lateral surface area of cylinder × Total surface area of cylinder (Given)
∴ 2π rh × 462 = 154 cm2 ...(2)

From (1) and (2), we have
From (2), we have
When r = 7 cm, we get

∴ Volume of the cylinder