# The ratio between the curved surface area and total surface of a right circular cyclinder is 1:2.Find the ratio between the height and radius

2
by spranavkumar200kumar

2015-01-28T05:57:19+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
given, csa : tsa of cylinder = 1:2
2πrh / 2πr(r+h)  = 1/2
h/(r+h) = 1/2
by cross multiplication, we get
2h = r+h
2h-h = r
therefore h=r
by calculating, we get height is equal to radius. then ratio of their height and radius is
height of cylinder : radius of cylinder = 1:1
plz mark it as best n click at thanks
u r so fast in answering dear. good explanation.
2015-01-28T06:24:30+05:30
Given,
ratio of curved surface area(c.s.a) and total surface(t.s.a) of a right circular cyclinder = 1:2
2πrh / 2πr(r+h)  = ½
h/(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

hope it helps you