find the diagonals in the cylinder D 12.1 yards 11.2 yards 8.7 yards
To find the diagonals of a cylinder, we first need to determine the height of the cylinder. The height of the cylinder can be found by using the Pythagorean theorem within the right triangle that forms based on the given dimensions.
Let's take the given dimensions to be the base circle radius (r) and the cylinder height (h). Therefore, the cylinder dimensions are:
Diameter (d) = 12.1 yards (this gives us the radius r = 12.1 / 2 = 6.05 yards)
Height (h) = 11.2 yards
Now, we can use the Pythagorean theorem where the diagonal is the hypotenuse:
diagonal = √(radius^2 + height^2)
diagonal = √(6.05^2 + 11.2^2)
diagonal = √(36.6 + 125.44)
diagonal = √161.04
diagonal ≈ 12.7 yards
Therefore, the diagonal of the cylinder is approximately 12.7 yards.