Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh[/tex]
Put all the values,
[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]
So, the value of r is equal to 7.33 units.