Question

A solid cylinder has a total surface area of 462 square metre its curved surface area is one third of his of its total surface area the volumes of the cylinder is

Answer 1

Answer:

2πr (r+h)= 462

2πr^2 + 2πrh = 462

2πr^2= 462-2πrh

2πr^2 = 462- 462*1/3

2πr^2= 462- 154

2πr^2 = 308

2* 22/7 *r^2 = 308

r= 7 m

2πrh = 154

2*22/7* rh= 154

2*22/7*7*h = 154

h=7/2

vol. of cylinder = πr^2h

= 22/7* 49*7/2

= 11*49

=539 m^3