Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 9 feet and a height of 18 feet. Container B has a radius of 11 feet and a height of 17 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 the empty portion of Container B, to the nearest tenth of a cubic foot?

To find the volume of a cylinder, use the equation [tex]V = \pi r^{2} h[/tex] where [tex]V[/tex] represents volume, [tex]r[/tex] represents radius, and [tex]h[/tex] represents height.

Find the volume of both cylinder containers.

Container A:

[tex]V = \pi (9)^{2} (18)[/tex]

[tex]V = 4580.442089[/tex] [tex]ft^{3}[/tex]

Container B:

[tex]V = \pi (11)^{2} (17)[/tex]

[tex]V = 6462.256088[/tex] [tex]ft^{3}[/tex]

Now, subtract the volume of Container A from Container B and find the difference. The difference will be the volume of the empty portion of Container B.

[tex]6462.256088 - 4580.442089 = 1881.813999[/tex] [tex]ft^{3}[/tex]

Lastly, round the difference to the nearest tenth of a cubic foot.

[tex]1881.8 ft^{3}[/tex]

jensonrvernet jensonrvernet · Answer 2 · 2020-03-30T20:39:09+02:00

jensonrvernet jensonrvernet

30-03-2020

Answer:

Answer:

To find the volume of a cylinder, use the equation where represents volume, represents radius, and represents height.

Find the volume of both cylinder containers.

Container A:

Container B:

Now, subtract the volume of Container A from Container B and find the difference. The difference will be the volume of the empty portion of Container B.

Lastly, round the difference to the nearest tenth of a cubic foot.

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