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Alexxandr [17]
3 years ago
5

A cylinder has radius r and height h. a. How many times greater is the surface area of a cylinder when both dimensions are multi

plied by a factor of 2? 3? 5? 10? b. Describe the pattern in part (a). How many times greater is the surface area of a cylinder when both dimensions are multiplied by a factor of 20?
Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0
To find it directly

A = 2 pi r h

A is proportional to rh

factor 2

A is multiplied by 2 * 2 = 4

factor 3

3 * 3 =9

factor 5

5 * 5 = 25

factor 10 

10 * 10 = 100

(b) the increase in A by factor x is x^2

c(20)^2 = 400 
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Answer:

28

Step-by-step explanation:

Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:

3x+4 = 5x-6

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10 = 2x

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Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:

(3*(5)+4)*2

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(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)

Therefore, the length of AC is 28.

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