Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 16 feet and a height of 18 feet. Container B has a diameter of 22 feet and a height of 15 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?

Respuesta :

The final volume of water in container B is required.

The volume of water in container B will be [tex]3619.1\ \text{feet}^3[/tex].

r = Radius of cylinder

h = Height of cylinder

Container A

[tex]r_1=\dfrac{16}{2}=8\ \text{feet}[/tex]

[tex]h_1=18\ \text{feet}[/tex]

Container B

[tex]r_2=\dfrac{22}{2}=11\ \text{feet}[/tex]

[tex]h_2=15\ \text{feet}[/tex]

Volume of water in container A

[tex]V_1=\pi r_1^2h_1\\\Rightarrow V_1=\pi\times 8^2\times 18\\\Rightarrow V_1\approx 3619.1\ \text{feet}^3[/tex]

Since, container B is empty only the volume of container A will be present.

The volume of water in container B will be [tex]3619.1\ \text{feet}^3[/tex].

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