two containers designed to hold water or side-by-side both in the shape of a cylinder container a has a diameter of 32 feet and a height of 16 feet container be has a diameter of 30 feet and a height of 18 feet container a is full of water and the water is pumped into container be until container be is full after pumping is complete. What is the volume of the water remaining container a to the nearest 10th of the nearest foot
First, let's calculate the volumes of both containers.
The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height.
For container A:
Radius = diameter / 2 = 32 / 2 = 16 feet
Height = 16 feet
V = π(16)^2(16) ≈ 12854.4 cubic feet
For container B:
Radius = diameter / 2 = 30 / 2 = 15 feet
Height = 18 feet
V = π(15)^2(18) ≈ 12723.6 cubic feet
After transferring water from container A to container B, the remaining volume of water in container A can be found by subtracting the volume of container B from the volume of container A:
Volume remaining = Volume of A - Volume of B
Volume remaining ≈ 12854.4 - 12723.6
Volume remaining ≈ 130.8 cubic feet
Therefore, the volume of water remaining in container A is approximately 130.8 cubic feet.