Final answer:
The height of the right circular cylinder with a volume of 7598.8 cubic yards and a radius of 22 yards is approximately 5.0 yards.
Step-by-step explanation:
To find the height of a right circular cylinder when the volume and radius are known, we use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height.
We are given that the volume V is 7598.8 cubic yards and the radius r is 22 yards. Plugging in the values, we have:
7598.8 = 3.14 × (22)^2 × h
Solving for h, we find:
7598.8 = 3.14 × 484 × h
7598.8 = 1518.56 × h
h = 7598.8 / 1518.56
h ≈ 5.0 yards
After calculating, we find that the height of the cylinder is approximately 5.0 yards.