Answer:
All I can really do is state it differently <> 4.5q /9
Answer:
12.1
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Here is the full question
A can of orange juice has a circular base with an area of 156 square centimeters. The height of the can is 20 centimeters.
What is the total volume
Answer:
V = 144.92 (sq. cm)³
Step-by-step explanation:
The shape of a can in usually in cylindrical form;
So, The volume of a cylinder is given as = ![\pi r^2h](https://tex.z-dn.net/?f=%5Cpi%20r%5E2h)
Given that:
area = 156 square centimeters.
height = 20 centimeters.
Let's find the radius of the circular base
Area of a cylinder = ![2 \pi rh + 2 \pi r^2](https://tex.z-dn.net/?f=2%20%5Cpi%20rh%20%2B%202%20%5Cpi%20r%5E2)
![156 = 2 \pi r120 + 2 \pi r^2](https://tex.z-dn.net/?f=156%20%3D%202%20%5Cpi%20r120%20%2B%202%20%5Cpi%20r%5E2)
![r+2 \pi r^2 = \frac{2 \pi 120}{156}](https://tex.z-dn.net/?f=r%2B2%20%5Cpi%20r%5E2%20%3D%20%5Cfrac%7B2%20%5Cpi%20120%7D%7B156%7D)
![r+2 \pi r^2 =4.83](https://tex.z-dn.net/?f=r%2B2%20%5Cpi%20r%5E2%20%3D4.83)
![r+r^2 = \frac{4.83}{2\pi}](https://tex.z-dn.net/?f=r%2Br%5E2%20%3D%20%5Cfrac%7B4.83%7D%7B2%5Cpi%7D)
![r+r^2 = 0.769](https://tex.z-dn.net/?f=r%2Br%5E2%20%3D%200.769)
![2r^2 = 0.769](https://tex.z-dn.net/?f=2r%5E2%20%3D%200.769)
![r^2 = \frac{0.769}{2}](https://tex.z-dn.net/?f=r%5E2%20%3D%20%5Cfrac%7B0.769%7D%7B2%7D)
![r^2 = 0.3845](https://tex.z-dn.net/?f=r%5E2%20%3D%200.3845)
![r =\sqrt{0.3845](https://tex.z-dn.net/?f=r%20%3D%5Csqrt%7B0.3845)
![r = 0.62](https://tex.z-dn.net/?f=r%20%3D%200.62)
Now, the Volume of the cylinder = ![\pi r^2h](https://tex.z-dn.net/?f=%5Cpi%20r%5E2h)
V = ![\pi (0.62)^2(120)](https://tex.z-dn.net/?f=%5Cpi%20%280.62%29%5E2%28120%29)
V = 144.92 (sq. cm)³