Final answer:
To find the height of the cylinder, use the formula for the volume of a cylinder: V = πr²h. Given the diameter of 10 yd, calculate the radius by dividing the diameter by 2. Substituting the values into the formula, simplify the equation to solve for h, which is approximately 14 yd.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder, which is V = πr²h. Given that the diameter of the cylinder is 10 yd, we can calculate the radius by dividing the diameter by 2. So the radius is 5 yd. Substituting the values into the formula, we have:
V = 3.142 × (5 yd)² × h = 1,099 yd³
Simplifying the equation, we get:
25 × 3.142 × h = 1,099
78.55h = 1,099
Dividing both sides by 78.55, we find that the height of the cylinder is approximately 14 yd.