Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
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
.
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.
