Question

The radii of twocircular cylinders are in the ratio 3:4 and their height are in the ratio 6:5 find the ratio of their curved surfaces

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 = 3: 4 and it's height are in the Ratio 6:5.

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)(3)(6) ÷ 2(π)(4)(5)

✏ Curved Surface Area of Circular Cylinder ÷ Curved Surface Area of Circular Cylinder = 9/20

Hence, Required Ratio of their curved Surface of Cylinders = 9 : 20