Height of the cylinder, (h = 13 , \text{cm})
Curved surface area of the cylinder, (L = 1632.80 , \text{cm}^2) (rounded to two decimal places)
To find the radius, we can use the formula for the curved surface area of a cylinder:
[ L = 2 \pi r h ]
Solving for the radius ((r)):
[ r = \frac{L}{2 \pi h} ]
Substitute the given values:
[ r = \frac{1632.80}{2 \pi \cdot 13} ]
Let’s calculate the value of (r):
[ r \approx \frac{1632.80}{2 \cdot 3.14 \cdot 13} ]
[ r \approx 6.25 , \text{cm} ]
Therefore, the radius of the circular base of the cylinder is approximately 6.25 cm
