Raymond owns a dairy farm and has to order tanker trucks, which are in the shape of right circular cylinders, to pick up his milk. If the length of each truck is 39 feet, and the diameter is 8.2 feet, how many tanker trucks will Raymond need if he has a volume of 6,175.65 feet3 of milk?(1 point)
To calculate the volume of a right circular cylinder, you use the formula V = πr^2h, where r is the radius and h is the height (or length in this case) of the cylinder.
Given that the diameter of the tanker truck is 8.2 feet, the radius (r) would be half of that, so r = 8.2 / 2 = 4.1 feet.
Plugging in the known values into the volume formula, we get:
V = π(4.1)^2(39)
V = π(16.81)(39)
V = π(656.59)
V = 2062.61π ft^3
Now, to find out how many tanker trucks Raymond will need for 6,175.65 ft^3 of milk:
Number of trucks = 6,175.65 / 2062.61
Number of trucks ≈ 2.995
Since you can't have a fraction of a truck, Raymond will need to order 3 tanker trucks to pick up all the milk.