Aright cylinder has a radius of 6 m and a surface area of 84 m². find the surface area of a similar cylinder with a radius of 2 m.

The surface area of the second cylinder is equal to

Step-by-step explanation:

we know that

If two figures are similar then

the ratio of their surfaces areas is equal to the scale factor squared

Let

z-------> the scale factor

x------> the surface area of the smaller cylinder (second cylinder)

y-------> the surface area of the original cylinder (first cylinder)

so

Step 1

Find the scale factor

Step 2

Find the surface area of the second cylinder

we have

substitute and solve for x

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this