Question

The formula S= 2 pi rh+ 2 pi r^2 gives the surface area S of a cylinder with height h and radius r. Solve the formula for h. Find h if r=5 cm and S=400 cm square.

Answer 1

\(S= 2 \pi rh+ 2 \pi r^2\)
To solve for h, isolate h
Subtract \(2\pi r^2\) from both sides:
\(S - 2\pi r^2 = 2\pi rh\)
Divide both sides by \(2\pi r\)
\(\Large \frac{S - 2\pi r^2}{2\pi r} = h\)

Answer 2

Here you go!

Answer 3

thanks so much guys :D
ur a great help!!

Answer 4

Before plugging in the numbers they are asking you to solve for h first.
So do the steps in my first reply. Then follow the image posted by phuongduongm.

Answer 5

ohhhh okok i get it now.
you guys are so helpful thanks so much :)