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MrRa [10]
3 years ago
15

Which equation can be used to find the surface area of the cylinder? A cylinder with a radius of 4 inches and height of 16 inche

s. S = 2 pi (4) squared + 2 pi (4) (16) S = 2 pi (8) squared + 2 pi (8) (16) S = 2 pi (16) squared + 2 pi (16) (4) S = 2 (4) squared + 2 (4) (16)
Mathematics
2 answers:
slega [8]3 years ago
8 0

Answer:

S = 2π(4)(16) + 2π(4²)

So option A is correct; S = 2 pi (4) squared + 2 pi (4) (16)

Step-by-step explanation:

Hope this help and please stay safe thank you

elena-s [515]3 years ago
6 0

Answer:

S = 2π(4)(16) + 2π(4²)

So option A is correct; S = 2 pi (4) squared + 2 pi (4) (16)

Step-by-step explanation:

The formula for total surface area of a cylinder is;

Total surface Area; S = 2πrh + 2πr²

Now,we are given;

Height;h =16 inches

Radius;r = 4 inches

Thus, plugging in the values into the Area formula, we have;

S = 2π(4)(16) + 2π(4²)

The correct answer from the options given is;

S = 2 pi (4) squared + 2 pi (4) (16)

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Explanation:

<u>1. Vertices of triangle FGH:</u>

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<u>3. Solution:</u>

Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:

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  • Rule for a reflection across the x-axis:{ (x,y) → (x, -y)

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Verfiy the transformations of the other vertices with the same rule:

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       4(-3,3) → (-12,12)

  • Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate

        (-8,4) → (-8,-4) ⇒ F'

        (-12,12) → (-12,-12) ⇒ G'

Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>

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