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Part 1
The diameter of a cylinder is 5 yd. The height is 4 yd. Find the volume of the cylinder in terms of pi and to the nearest tenth.
To find the volume of a cylinder, you use the formula V = πr^2h, where r is the radius and h is the height.
Given that the diameter is 5 yards, the radius (r) is half of the diameter, so r = 5/2 = 2.5 yards.
Now, using the height (h) of 4 yards, we can plug in the values into the formula:
V = π(2.5)^2 * 4
V = π(6.25) * 4
V = 25π
Therefore, the volume of the cylinder is 25π cubic yards, which is approximately 78.5 cubic yards to the nearest tenth.