jennifergraham8 jennifergraham8
  • 10-04-2018
  • Mathematics
contestada

A cylinder has a surface area of 5652 square millimeters. If the diameter of the cylinder is 30 millimeters, what is the height? Please show work

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iGreen
iGreen iGreen
  • 10-04-2018
The formula for the surface area of a cylinder is:

[tex]\sf A=2\pi rh+2\pi r^2[/tex]

Plug in what we know, use 3.14 to approximate for pi(radius is half the diameter, 30/2 = 15):

[tex]\sf 5652\approx 2(3.14)(15)h+2(3.14)(15)^2[/tex]

Simplify:

[tex]\sf 5652\approx 94.2h+1413[/tex]

Subtract 1413 to both sides:

[tex]\sf 4239\approx 94.2h[/tex]

Divide 94.2 to both sides:

[tex]\boxed{\sf h\approx 45~mm}[/tex]

So the height is approximately 45 millimeters.
Answer Link
wongjaiden
wongjaiden wongjaiden
  • 06-05-2020

Answer:

45 m

Step-by-step explanation:

Answer Link

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