To find the volume of the empty portion of Container B after pumping water from Container A, we first need to find the total volume of water that was pumped.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
For Container A, the diameter is 14 feet, so the radius (r) is half of that, which is 7 feet. The height (h) of Container A is 18 feet.
V(A) = π(7)^2(18)
V(A) = 882π cubic feet
Next, we need to find the total volume of Container B, which has a diameter of 18 feet and a height of 15 feet.
The radius (r) of Container B is half of 18 feet, which is 9 feet.
V(B) = π(9)^2(15)
V(B) = 1215π cubic feet
After pumping the water from Container A into Container B, the total volume of water in Container B is:
V(total) = V(A) + V(B)
V(total) = 882π + 1215π
V(total) = 2097π cubic feet
Now, to find the volume of the empty portion of Container B, we subtract the volume of the water from the total volume of Container B.
V(empty portion of B) = V(B) - V(total)
V(empty portion of B) = 1215π - 2097π
V(empty portion of B) = -882π cubic feet
The volume of the empty portion of Container B is approximately 2776.2 cubic feet to the nearest tenth.
Two container designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 18 feet. Container B has a diameter of 18 feet and a height of 15 feet. Container A is full of water and pumps water into container B After the pumping is complete what is the volume of the empty portion of Container B, to the nearest tenth a cubic foot?
1 answer