Question

5. The ratio between the curved surface area
and the total surface area of a cylinder is
1:2. Find the ratio between the height and the
radius of the cylinder​

Answer 1

Answer:

The ratio between the curved surface area

and the total surface area of a cylinder is

1:2. Find the ratio between the height and the

radius of the cylinder

Answer 2

Note: Curved surface area of cylinder =2πrh

Note: Curved surface area of cylinder =2πrhTotal surface area =2πrh+2πr /2

Note: Curved surface area of cylinder =2πrhTotal surface area =2πrh+2πr /2

2 Given:

2πrh+2πr/2

2

2 2πrh =2/1

→ h+r/h = 2/1

1

1 ⇒2h=h+r

⇒2h=h+r⇒h=r

⇒2h=h+r⇒h=rrh =1

=1∴ required ratio h:r=1:1