Question

Now, divide both sides by 10π to get r
2
alone on the right side of the equation.
r = ?Area Label Arrow
height = 10
Volume = 160π
Volume
=
Area of base · Height
V
=
πr
2
·h
160π
=
πr
2
· 10
160π
=
10π·r
2

10π
10π

=

Answer 1

To isolate \( r^2 \) in the equation you've provided, we start from the volume formula:

\[
160\pi = 10\pi \cdot r^2
\]

Now, divide both sides by \( 10\pi \):

\[
\frac{160\pi}{10\pi} = r^2
\]

The \(\pi\) terms cancel, and simplifying \( \frac{160}{10} \) gives:

\[
16 = r^2
\]

To find \( r \), take the square root of both sides:

\[
r = \sqrt{16}
\]

Thus, we get:

\[
r = 4
\]

So, the value of \( r \) is \( 4 \).