Question

Can someone help me solve this question? Thanks!

Answer 1

Try re-arranging. Isolate h.

Answer 2

The last one was different from this one though

Answer 3

1) Divide both sides by pi * r
2) Then try squaring both sides.

What do you get?

Answer 4

The last one was just the opposite of this question.

Answer 5

A^2

Answer 6

I'll solve this again. Try understanding this time.

We have to isolate 'h'.
\[A = \pi r \sqrt{r^2 + h^2}\]Divide both sides by \(\pi r\).
\[\frac{A}{\pi r} = \sqrt{r^2 + h^2}\]Square both sides.
\[\frac{A^2}{\pi ^2 r^2} = r^2 + h^2 \implies h^2 + r^2 = \frac{A^2}{\pi ^2 r^2} \]Subtract both sides by \(r^2\)
\[h^2 + r^2 - r^2 =h^2 = \frac{A^2}{\pi ^2 r^2} - r^2\]Square-root both sides.
\[h = \pm \sqrt{\frac{A^2}{\pi ^2 r^2}-r^2}\]

Getting this?

Answer 7

ok so we take it out and then divide it ok, gotcha on that