Question

The ratio of two cylinders are in the ratio 2:3and their heights are in the ratio 5:3. Calculate the ratio of their C.S.A.

Answer 1

Solution :

{Formulae of Cylinder}

✒ Volume of Cylinder = πr²h

✒ Curved Surface Area of Cylinder = 2πrh

In this Question, It is given that Radii of two circular cylinder = 2: 3 and it's height are in the Ratio 5:3 .

Now, According to the Question;

Curved Surface Area of Circular Cylinder ÷ Curved Surface Area of Circular Cylinder = 2πrh/2πRH

✏ Curved Surface Area of Circular Cylinder ÷ Curved Surface Area of Circular Cylinder = 2(π)(2)(5) ÷ 2(π)(3)(3)

✏ Curved Surface Area of Circular Cylinder ÷ Curved Surface Area of Circular Cylinder = 10/9

Hence, Required Ratio of their curved Surface of Cylinders = 10 : 9