A solid cylinder has total surface area of 462 square cm. Its curved surface area is one-third of its total surface area. Find the volume of the cylinder. (Take `pi=22//7)`

Explanation

Let Radius of cylinder = r cm and Height of cylinder = h cm
Total surface area of cylinder='2πr (r + h) .. 2πr(r + h) =` 462`..... (1)'
Since curved surface area is one third of total surface area
So curved surface area = '154 cm sq'
The curved surface area='2πrh = 154'.....0..(2)
Equation (1)-(2) gives '2πr^2=308' which gives 'r=7'
Therefore, volume of cylinder is 'πr^2h= 539 cm^3'