Final answer:
The dimensions of the right circular water tower are 1 yard for the radius and 2 yards for the height. These values are found by using the formula for the volume of a cylinder, substituting given values, and solving for the unknowns.
Step-by-step explanation:
For a right circular cylinder, the relationship between volume (V), radius (r), and height (h) is expressed by the formula: V = π*r^2*h. Here, we are told that the volume is 22 cubic yards, the radius is unknown, but the height is described as four times the radius minus two yards.
To solve for the dimensions, we equate the formula to the given volume (22 cubic yards) and substitute '4r-2' in place of 'h'. We then solve for 'r' and substitute the value we get for 'r' back into the equation to find 'h'.
Doing this, we find that the radius of the water tower is 1 yard, and the height of the tower is 2 yards.
Learn more about Volume of a cylinder