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Sagot :
The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.
We have given that the shape of a
cylinder Container A has a diameter of 30 feet and a height of 18 feet.
diameter =30 feet and height =18 feet
Therefore
[tex]radius=\frac{d}{2} \\\\radius=\frac{30}{2} \ \\\\radius=15[/tex]
What is the formula for volume of cylinder ?
[tex]volume =\pi r^2h[/tex]
For cylinder A,
[tex]volume =\pi r^2h[/tex]
[tex]volume =\pi (15)^218\\ \\V=12723.45 ft^{3}[/tex]
Similarly for cylinder B,
h=19
radius
[tex]\frac{26}{2} =13feet[/tex]
volume of cylinder B
[tex]volume =\pi r^2h\\\\volume =\pi (13)^2(19)\\\\volume =10087.65 feet^3[/tex]
After pumping all of Cylinder A into Cylinder B there will remain empty space in B
[tex]12723.45-10087.65=2635.8 feet^3[/tex]
The percentage this empty space is,
of the entire volume is
[tex]\frac{2635.8}{10087.65} =0.261289[/tex]
which is 26.12 % when rounded to the nearest tenth.
Therefore,
The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.
To learn more about the volume of cylinder visit:
https://brainly.com/question/9554871
.
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