Now, divide both sides by 8π to get r

Question

2
alone on the right side of the equation.
r=?Area Label Arrow
height = 8
Volume = 32π
Volume
=
Area of base ⋅ Height

V
=
πr
2
·h

32π
=
π · r
2
· 8

32π
=
8π·r
2

8π
8π

=

Answer 1

To solve for \( r^2 \), you start with the equation:

\[ 32\pi = 8\pi \cdot r^2 \]

Now, you need to divide both sides by \( 8\pi \):

\[ \frac{32\pi}{8\pi} = r^2 \]

The \( \pi \) in the numerator and denominator cancels out:

\[ \frac{32}{8} = r^2 \]

Calculating the left side gives:

\[ 4 = r^2 \]

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

\[ r = \sqrt{4} \]

Thus,

\[ r = 2 \]

So, the final answer is:

\[ r = 2 \]