anonymous
  • anonymous
one cylinder has a height of 16m the other cylinder has a height of 28m. If the smaller cylinder has a lateral area of approximately 302 square meters, what is the approximate lateral area of the larger cylinder? Answer 1,618.5 square meters 924.9 square meters 528.5 square meters 98.6 square meters
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathteacher1729
  • mathteacher1729
Are we assuming that the cylinders have the same radius?
anonymous
  • anonymous
yes because it doesnt give the radius
mathteacher1729
  • mathteacher1729
Do you know the formula for lateral area of a cylinder?

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anonymous
  • anonymous
Lateral Area= (2pi)x(radius)x(height)
mathteacher1729
  • mathteacher1729
Yup. You can now solve for r by substituting the height and lateral area of the smaller cylinder of that formula. :)
anonymous
  • anonymous
im still confused
mathteacher1729
  • mathteacher1729
Lateral Area= (2pi)x(radius)x(height) shorten this to LA = 2*pi*r*h You are given LA and h for the small cylinder. small cylinder LA = 302 m^2 small cylinder h = 16m Substitute those values into the formula and solve for r: LA = 2*pi*r*h 302 = 2*pi*r*16 302 = 32*pi*r (I multiplied 2 x 16 = 32) 302 / (32*pi) = r ( I divided both sides by 32*pi) 3.00404955 = r ( I entered 302 divided by (32 *pi) into a calculator, or even google!) So r = 3.00404955 Now we can solve for the LA of the large cylinder.
anonymous
  • anonymous
so would it be 528.5
mathteacher1729
  • mathteacher1729
Yup! :D You got it.
anonymous
  • anonymous
thank you :)
mathteacher1729
  • mathteacher1729
Hint: So you remember what you did later, it's best to actually write: LA = 2*pi*(3.00404955)*28 = 528 m^2
anonymous
  • anonymous
your awesome
mathteacher1729
  • mathteacher1729
Aww thanks! :D

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