Two containers 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 15 feet. Container B has a diameter of 18 feet and a height of 11 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of water in Container B, to the nearest tenth of a cubic foot?
To find the volume of water in Container B, we first need to calculate the volume of water in Container A.
Volume of Container A = πr^2h, where r is the radius and h is the height
Radius of Container A = 14 feet / 2 = 7 feet
Volume of Container A = π(7^2)(15) = 735π cubic feet
Since the water from Container A is transferred to Container B, the volume of water in Container B will be the total volume of both containers.
Volume of Container B = Volume of Container A + Volume of Container B
Radius of Container B = 18 feet / 2 = 9 feet
Volume of Container B = π(9^2)(11) = 891π cubic feet
Therefore, the volume of water in Container B, after transferring water from Container A, is:
Volume of water in Container B = Volume of Container A + Volume of Container B
Volume of water in Container B = 735π + 891π
Volume of water in Container B = 1626π
Volume of water in Container B ≈ 5107.3 cubic feet
Therefore, the volume of water in Container B is approximately 5107.3 cubic feet.
Incorrect
Apologies for the mistake. Let's correct it.
First, let's calculate the volume of water in Container A:
Volume of Container A = πr^2h
Radius of Container A = 14 ft / 2 = 7 ft
Height of Container A = 15 ft
Volume of Container A = π(7^2)(15) = 735π cubic feet
Now, we need to add the volume of water in Container A to the volume of Container B to find the total volume of water in Container B.
Volume of Container B = πr^2h
Radius of Container B = 18 ft / 2 = 9 ft
Height of Container B = 11 ft
Volume of Container B = π(9^2)(11) = 891π cubic feet
Total Volume of water in Containers A and B = Volume of Container A + Volume of Container B
Total Volume of water in Containers A and B = 735π + 891π
Total Volume of water in Containers A and B = 1626π ≈ 5109.7 cubic feet
Therefore, the volume of water in Container B, after transferring water from Container A, is approximately 5109.7 cubic feet.