, 24.01.2020missdee7623

# The two cylinders are similar find the surface area of the smaller cylinder round your answer to the nearest hundredth a 942.48 cm? b. 376.99 cm c 565 49 cm d 226.19 cm

Two similar cylinders have proportional dimensions:

.

Then cm.

d is the diameter of the second cylinder base, then r=d/2=3 cm.

The surface area of the smaller cylinder consists of the area of two bases and area of the lateral face:

.

Since r=3 cm and h=9 cm, you have

sq.cm.

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.

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