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A right 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.

User Selina
by
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1 Answer

5 votes

Answer:

The surface area of the second cylinder is equal to
9.33\ m^(2)

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


z^(2)=(x)/(y)

Step 1

Find the scale factor


z=(2)/(6)=(1)/(3)

Step 2

Find the surface area of the second cylinder

we have


z=(1)/(3)


y=84\ m^(2)

substitute and solve for x


((1)/(3))^(2)=(x)/(84)


x=(1)/(9)*84=9.33\ m^(2)


User Airtonix
by
8.3k points

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