radio of two cylinders are in the ratio 4:3 and their heights are in the ratio 5:6, find the ratio of their curved surfaces.​

Question

radio of two cylinders are in the ratio 4:3 and their heights are in the ratio 5:6, find the ratio of
their curved surfaces.​

in progress 0
Kennedy 4 weeks 2021-11-02T05:59:44+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-11-02T06:00:54+00:00

    Given :

    • Ratio of two cylinders are in the ratio 4:3.
    • Their heights are in the ratio 5 : 6.

    To find :

    • The ratio of their curved surfaces =?

    Formula Used :

    • Curved surface area of cylinder = 2πrh.

    Step-by-step explanation :

    Ratio of the first Cylinder, r₁ = 4

    Ratio of the second Cylinder, r₂ = 3

    Height of the first Cylinder, h₁ = 5

    Height of the second Cylinder, h₂ = 6

    Curved surface area of the first cylinder, S₁ = 2πr₁h₁.

    Curved surface area of the second cylinder, S₂ = 2πr₂h₂ .

    According to the question,

    S₁/S₂ = 2πr₁h₁/2πr₂h₂

    S₁/S₂ = r₁h₁/r₂h₂

    S₁/S₂ = 4₁5₁/3₂6₂

    S₁/S₂ = 4 × 5/3 × 6

    S₁/S₂ = 20/18

    S₁/S₂ = 10/9.

    Therefore, the ratio of their curved surfaces = 10/9.

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )