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 :

Put all the values,

So, the value of r is equal to 7.33 units.
Circumference: 2 * pi * r
pi = 3.14, r = 4
2 * 3.14 * 4 = 25.12
Circumference: 25.12 cm
Area = pi * r^2
pi = 3.14, r = 4
3.14 * 4^2 = 50.24
Area: 50.24 cm^2