Question

Find the height of the figure below if the surface area is 694.35 mm2

Answer 1

What shape is the figure?

Answer 2

Okay so this is a Cylinder you would agree?

Answer 3

And you'd also agree that the radius of this cylinder is 4.3 because 8.6/2 = 4.3

So we know the equation of Surface Area for a Cylinder is:

\[SA=2\Pi rh+2\Pi r^2\]

So now we have

694.35= 2pi(4.3)(h)+2pi(4.3^2)

So now we just solve for h.