Final answer:
To find the difference in volume between tank A and tank B, calculate the volume of each tank using the formula V = πr²h, where r is the radius and h is the height. Tank A has a volume of 2250π cubic meters and tank B has a volume of 6300π cubic meters. The difference in volume is 4050π cubic meters.
Step-by-step explanation:
To find the difference in volume between tank A and tank B, we need to calculate the volume of each tank first. The volume of a right cylinder is given by the formula V = πr²h, where r is the radius and h is the height. For tank A, the diameter is given as 30 meters, so the radius is half of that, which is 15 meters. The height is given as 10 meters. Plugging these values into the formula, the volume of tank A is:
VA = π * 15² * 10 = 2250π cubic meters
For tank B, the diameter is given as 35 meters, so the radius is half of that, which is 17.5 meters. The height is given as 8 meters. Plugging these values into the formula, the volume of tank B is:
VB = π * 17.5² * 8 = 6300π cubic meters
Now, we can find the difference in volume by subtracting the volume of tank A from the volume of tank B:
Difference = VB - VA = 6300π - 2250π = 4050π cubic meters