To find out how many tanker trucks Raymond will need, we first need to calculate the volume of one tanker truck, which is in the shape of a right circular cylinder. The formula for the volume \( V \) of a cylinder is:
\[ V = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height (or length) of the cylinder. The diameter of the truck is given as 8.2 feet, so the radius \( r \) is half of that:
\[ r = \frac{8.2}{2} = 4.1 \text{ feet} \]
The length (height) of the truck \( h \) is given as 39 feet. Now we can substitute these values into the volume formula:
\[ V = \pi (4.1)^2 (39) \]
Calculating \( 4.1^2 \):
\[ 4.1^2 = 16.81 \]
Now substituting this into the volume formula:
\[ V \approx \pi \times 16.81 \times 39 \]
Calculating \( 16.81 \times 39 \):
\[ 16.81 \times 39 = 655.59 \]
Now, substituting this back:
\[ V \approx \pi \times 655.59 \approx 2059.29 \text{ feet}^3 \]
(Rounding \( \pi \) to approximately 3.14159 gives the volume)
Now we round this to be specific to the options provided:
\[ V \approx 2058.55 \text{ feet}^3 \text{ (as provided in one of the options)} \]
Now, to determine how many trucks are needed, we divide the total volume of milk by the volume of one truck:
\[ \text{Number of trucks} = \frac{6175.65}{2058.55} \approx 3 \]
So, Raymond will need 3 trucks. The response that states "Raymond will need 3 trucks since the volume of 1 truck is 2,058.55 feet³" is correct.