The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 3 : 1. The ratio of their lateral surface area is . (a) 3 ∶ 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9

a

Step-by-step explanation:

Cylinders:

Ratio of radii = 1 : 4

Radius of two cylinders are: r , 4r

Ratio of height = 3 :1

Height of two cylinders are: 3h , h

Lateral surface area of cylinder =  2πrh

Ratio of lateral surface area= 2π* r * 3h   : 2π* 4r * h

                                             = 3 : 4

step-by-step explanation:

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