Practice math questions #2?

Question

I need help on the following problems, and all steps and formulas would greatly needed:

3) Max has 100 square inches of aluminum with which to make a closed cylinder. If the radius of the cylinder must be 2 inches. How tall will the cylinder be? ( Round to the nearest hundredth of an inch).

4) Find three consecutive even integers such that the sum of the first two is 22 more than the third.

Answer 1

ur mother if she doesnt know   oooo snap i just made it rain on u and yo mama    now go home to her cryin about tht math she waitin for ya             ooooooooooooooo   sonny

Answer 2

radius of cylinder = 2 in

lateral area = 2πrh

= 4πh

base area = πr²

= 4π

total surface area = lateral area + 2(base area) = 100 in²

4πh + 2(4π) = 100 in²

h + 2 = 100/(4π) = 25/π

h = 25/π - 2

= 5.957747155

≅ 5.96 in

http://www.flickr.com/photos/dwread/2814...

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"three consecutive even integers"

2n, 2n+2, 2n+4

"sum of the first two is 22 more than the third"

(2n) + (2n+2) = 22 + (2n+4)

4n+2 = 26+2n

2n = 24

n = 12

2n = 24

2n+2 = 26

2n+4 = 28

The integers are 24, 26, and 28.

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P.S. Great photo. Nice to see you're having fun.