Saved Bookmarks
| 1. |
The ratio between the curved surface and total surface of a cylinder is 1:2. Find the volume of the cylinder, given that its total surface area is 616 cm^3 |
|
Answer» k h yo ratio of curved surface area(c.s.a) and total surface(t.s.a) of a right circular cyclinder = 1:22πrh/2πr(r+h) = ½h/(r+h) = ½(2πrh on the both sides will be cancelled)2h = r+h (by cross multiplying)2h-h = r therefore h=r therefore height of cylinder = radius of cylinder = 1:1 volume = π r^2hTSA = 2πr(r+h)r= hso 2πr(2r)4πr^2= 616r^2= 616/4πr= 7then volume = π×7*7*722*491078 cm^3 |
|