Respuesta :
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.
[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.