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The two cylinders are similar. Find the surface area of the smaller cylinder. Round your answer to the nearest hundredth.

A. 942.48 cm²
B. 376.99 cm²
C. 565.49 cm²
D. 226.19 cm²
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The two cylinders are similar Find the surface area of the smaller cylinder Round your answer to the nearest hundredthA 94248 cmB 37699 cmC 56549 cmD 22619 cm class=

Respuesta :

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Answer:

D

Step-by-step explanation:

To first tackle this question, use similarity ratio, where the missing diameter is d. 10/15 = d/9 which can be simplified into d = 6. Then use the surface formula  

2πrh + 2πr². Then, since the radius is 0.5d, the radius or r is 3. Then, plus in values and simplify to get 226.19cm².