Question

the radius and height of a cylinder are in the ratio 11:7 if the curved surface area of cylinder is 121 squares and find its height and radius​

Answer 1

Answer:

The radius of the cylinder = 5.5 units

The height of the cylinder = 3.5 units

Step-by-step explanation:

The ratio between the radius and the height of the cylinder = 11:7

The radius can be represented as 11x.

The height can be represented as 7x.

Given that the curved surface area of cylinder = 121 square units

We know that the curved surface area of the cylinder = 2 × π × radius × height

                                  121 = 2 × π × 11x × 7x

                                  121 = 484$x^{2}$

                                    $x^{2}$ = 121/484 = 0.25

                                     x = 0.5 units

Since the value of x is 0.5 units ,

           The radius = 11x = 11 × 0.5 = 5.5 units

            The height = 7x =7 × 0.5 = 3.5 units