Question

.if the ratio of the total surface area of a cylinder to the curved surface area of the cylinder is 2:1, find the ratio of its radius to its height. ​

Answer 1

Answer:

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

Medium

Solution

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Note: Curved surface area of cylinder =2πrh

Total surface area =2πrh+2πr

2

Given:

2πrh+2πr

2

2πrh

=

2

1

→

h+r

h

=

2

1

⇒2h=h+r

⇒h=r

r

h

=1

∴ required ratio h:r=1:1

Step-by-step explanation:

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