The diameter of a cylinder is 3 yd. The height is 4 yd. Find the volume of the cylinder in terms of pi
v = pi r^2 h
now just plug in your numbers.
Note that r = 1/2 the diameter
To find the volume of a cylinder, we use the formula V = πr^2h, where r is the radius of the cylinder's base and h is the height.
In this case, we are given the diameter of the cylinder, which is 3 yards. The radius of the cylinder is half of the diameter, so we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 3 yd / 2 = 1.5 yd
The height of the cylinder is given as 4 yards. Now that we have the radius and the height, we can substitute these values into the formula to find the volume:
V = π * (radius^2) * height
= π * (1.5 yd)^2 * 4 yd
= π * 2.25 yd^2 * 4 yd
= 9π yd^3
Therefore, the volume of the cylinder in terms of pi is 9π cubic yards.