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a
Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 18 feet and a height of 16 feet. Container B
has a diameter of 12 feet and a height of 20 feet. Container A is full of water and the
water is pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of the empty space inside
Container A, to the nearest tenth of a cubic foot?

A Two Containers Designed To Hold Water Are Side By Side Both In The Shape Of A Cylinder Container A Has A Diameter Of 18 Feet And A Height Of 16 Feet Container class=

Sagot :

Answer:

[tex]3,619.1[/tex] feet ³

Step-by-step explanation:

r = Radius of cylinder

h = Height of cylinder

Container A

[tex]r_{1} =\frac{16}{2} =8[/tex]

[tex]h_{1} =18[/tex]

Container B

[tex]r_{1} =\frac{12}{2} =6[/tex]

[tex]h_{1}=20[/tex]

Volume of water in container A

[tex]V_{1} =\pi r^{2} _{1} h_{1}[/tex]

⇒ [tex]V_{1} =\pi *8^{2} *18[/tex]

⇒ [tex]V_{1}[/tex] ≈ [tex]3,619.1[/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]3,619.1[/tex] feet ³

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