To find the radius of the drum from its circumference, we can use the formula for the circumference of a circle, which is:
\[ C = 2\pi r \]
where \( C \) is the circumference and \( r \) is the radius. We need to solve for \( r \):
\[ r = \frac{C}{2\pi} \]
Given that the circumference \( C = 113.04 \) cm and using \( \pi \approx 3.14 \), we can substitute into the formula:
\[ r = \frac{113.04}{2 \times 3.14} \]
Calculating the denominator:
\[ 2 \times 3.14 = 6.28 \]
Now, substitute this value back into the equation for \( r \):
\[ r = \frac{113.04}{6.28} \]
Next, we perform the division:
\[ r \approx 18.00 \]
Thus, the radius of the drum is approximately \( 18.00 \) centimeters when rounded to the nearest hundredth.