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Question 119

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

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Solution

Curved surface area of a cylinder =2πrh
Total surface area of a cylinder =2πr(r+h)
The ratio between the curved surface area and the total surface area of a cylinder is 1 : 2
12=2πrh2πr(r+h)12=h(r+h)2h=(r+h)2hh=rh=r
Ratio of height and radius = 1 : 1


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