Question

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

Answer 1

The curved surface area (CSA) of a cylinder is given by the formula: 2πrh. Where the variable r denotes the radius and the variable h denotes the height of the cylinder.Now, we need to find the ratio of the curved surface areas. 

⇒ $\frac{CSA}{TSA}$ = $\frac{1}{2}$ 

⇒ $\frac{2πrh}{2π(r+h)}$ = $\frac{1}{2}$  

⇒ $\frac{h}{(r+h)}$ = $\frac{1}{2}$   

⇒ 2h = (r+h) (Use cross Multiplication) 

⇒ h + r 

⇒ $\frac{h}{r}$ = $\frac{1}{1}$ 

Answer 2

Answer:

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