Question

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

Answer 1

The formula for the surface area of a cylinder is:

$\sf A=2\pi rh+2\pi r^2$

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

$\sf 5652\approx 2(3.14)(15)h+2(3.14)(15)^2$

Simplify:

$\sf 5652\approx 94.2h+1413$

Subtract 1413 to both sides:

$\sf 4239\approx 94.2h$

Divide 94.2 to both sides:

$\boxed{\sf h\approx 45~mm}$

So the height is approximately 45 millimeters.

Answer 2

Answer:

45 m

Step-by-step explanation: