Question

Now, divide both sides by 4π to get r
2
alone on the right side of the equation.
r = ?Area Label Arrow
height = 4
Volume = 36π
Volume
=
Area of base · Height

V
=
πr
2
·h

36π
=
πr
2
· 4

36π
=
4π·r
2

4π
4π

=

Answer 1

To isolate \( r^2 \) in the equation \( 36\pi = 4\pi \cdot r^2 \), you can first divide both sides by \( 4\pi \):

\[
\frac{36\pi}{4\pi} = r^2
\]

The \( \pi \) cancels out, and you are left with:

\[
\frac{36}{4} = r^2
\]

Calculating \( \frac{36}{4} \) gives:

\[
9 = r^2
\]

To solve for \( r \), you take the square root of both sides:

\[
r = \sqrt{9}
\]

Thus:

\[
r = 3
\]

So, the final value of \( r \) is:

\[
r = 3
\]