The TSA of a solid cylinder is 462cm2 and its curved surfave area is one third of its total surface area . Find the volume of a cylinder

 

Asked by harinikurimilla | 2nd May, 2019, 07:45: PM

Expert Answer:

The radius and height of the cylinder be r and h respectively.
Total surface area of cylinder = 462
2∏r(r + h) = 462  ....(i)
Lateral surface area of cylinder = 1/3 of total surface area of cylinder
2∏rh = 1/3 of 462 = 154  ....(ii)
Dividing (i) by (ii)
(r + h)/h = 3
Solving we get h = r/2
We have 
2∏rh = 154 where h = r/2
We get r = 7 cm
hence, h = r/2 = 3.5 cm
Volume of cylinder = ∏r2h = 539 cm2

Answered by Sneha shidid | 3rd May, 2019, 09:52: AM