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

answer: 20

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: