The Reunion Tower is made up of one primary sphere with a diameter of 118.11 feet and three cylinders surrounding it. Each cylinder is 470 feet tall. The diameter of the main cylinder is 59.1 feet, and the diameter of each smaller cylinder is about 26.2 feet. What is the total volume of the Reunion Tower?

To find the total volume of the Reunion Tower, we need to calculate the volumes of the primary sphere and the three surrounding cylinders and then add them together.

First, let's calculate the volume of the sphere. The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius. The diameter of the sphere is 118.11 feet, so the radius is half of that, which is 59.055 feet. Plugging this value into the formula, we get:

V_sphere = (4/3)π(59.055)³ = 707216.13 cubic feet

Next, let's calculate the volume of the main cylinder. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height. The diameter of the main cylinder is 59.1 feet, so the radius is half of that, which is 29.55 feet. The height of the cylinder is 470 feet. Plugging these values into the formula, we get:

V_main_cylinder = π(29.55)²(470) = 1266251.19 cubic feet

Now, let's calculate the volume of each smaller cylinder. The formula is the same as for the main cylinder. The diameter of each smaller cylinder is 26.2 feet, so the radius is half of that, which is 13.1 feet. The height of each cylinder is also 470 feet. Plugging these values into the formula, we get:

V_smaller_cylinder = π(13.1)²(470) = 866180.04 cubic feet

Finally, we can find the total volume of the Reunion Tower by adding the volumes of the sphere and the three cylinders together:

Total Volume = V_sphere + V_main_cylinder + 3V_smaller_cylinder = 707216.13 + 1266251.19 + 3(866180.04) ≈ 4823286.44 cubic feet