two containers designed to hold water are side by side both in the shape of a cylinder container a has a radius of 8 ft and a height of 20ft container b has a radius of 11 ft and a height of 19 ft container a is full of water and the water is pumped into container b until container is empty after the pumping is complete what is the volume of water and container b to the nearest tenth of the cubic foot
To calculate the volume of water in container A, we use the formula for the volume of a cylinder:
V = π * r^2 * h
where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height.
For container A:
V_A = π * 8^2 * 20
V_A = 1280π ft^3
V_A ≈ 4019.3 ft^3
Now, we need to calculate the volume of container B. Since container A is completely emptied into container B, the volume of water in container B will be equal to the volume of water in container A.
V_B = V_A
V_B ≈ 4019.3 ft^3
Therefore, the volume of water in container B after the transfer is approximately 4019.3 cubic feet.