The formula for the volume of a cylinder is:
V = πr^2h
where V is the volume, r is the radius, h is the height, and π is pi.
We are given that the volume of the cylinder is 282.6 and the radius is 3 yards. Substituting these values into the formula, we get:
282.6 = π(3)^2h
Simplifying the equation, we get:
282.6 = 9πh
Dividing both sides by 9π, we get:
h = 282.6 / (9π)
h ≈ 10
Rounding to the nearest yard, the height of the cylinder is approximately 10 yards.