Question

Now, divide both sides of the equation by 4π to get rid of the 4π and get h alone on the right side of the equation. Let’s start with the right side. On the right you have 4π ⋅ h, and you’re dividing that by 4π. Since π is a number, it can be divided like any number. So, you can think of 4π ⋅ h divided by 4π as
4π
4π
·h.

Answer 1

You're on the right track! To isolate \( h \) in the equation where the right side is expressed as \( 4\pi \cdot h \), let's go through the steps clearly.

Starting with the equation:

\[
A = 4\pi \cdot h
\]

To isolate \( h \), divide both sides of the equation by \( 4\pi \):

\[
\frac{A}{4\pi} = \frac{4\pi \cdot h}{4\pi}
\]

On the right side, the \( 4\pi \) terms cancel each other out:

\[
\frac{A}{4\pi} = h
\]

Thus, you successfully isolated \( h \) on the right side:

\[
h = \frac{A}{4\pi}
\]

This shows that \( h \) is equal to \( \frac{A}{4\pi} \).