Answer:
The formula for the volume of a cylinder is:
V = πr^2h
where r is the radius of the cylinder and h is its height.
In this case, the radius is x+3 and the height is x+11, so we can substitute these values into the formula:
V = π(x+3)^2(x+11)
Simplifying this expression, we have:
V = π(x^2 + 6x + 9)(x+11)
V = π(x^3 + 17x^2 + 69x + 99)
Therefore, the volume of the cylinder with radius x+3 and height x+11 is π(x^3 + 17x^2 + 69x + 99) cubic units.