Identify given values and formula

The formula for the curved surface area of a cylinder is $CSA = 2 \pi r h$. Given $CSA = 7900$, $h = 3$, and $\pi = \frac{22}{7}$, we need to find the radius $r$.

$r = \frac{CSA}{2 \pi h}$

Substitute the values

Plugging the values into the equation: $r = \frac{7900}{2 \times \frac{22}{7} \times 3}$

$r = \frac{7900 \times 7}{44 \times 3}$

Solve for r

Calculating the numerator: $7900 \times 7 = 55300$. Calculating the denominator: $44 \times 3 = 132$. Then, $r = \frac{55300}{132}$.

$r \approx 418.93939...$

Round to two decimal places

Rounding $418.93939$ to two decimal places gives $418.94$.

$r \approx 418.94$