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Answer:
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