A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 xft?
1 answer:
Answer:
Volume of sphere =![\frac{2}{3}(27\pi) ft^3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%2827%5Cpi%29%20ft%5E3)
Step-by-step explanation:
We are given that
Radius of sphere=Radius of cylinder=r
Height of sphere=Height of cylinder=h
Height of sphere=h=Diameter of sphere=2r
Volume of cylinder=![27\pi ft^3](https://tex.z-dn.net/?f=27%5Cpi%20ft%5E3)
Volume of cylinder=![\pi r^2 h](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%20h)
Using the formula
Volume of cylinder=![\pi r^2(2r)=2\pi r^3=27\pi](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%282r%29%3D2%5Cpi%20r%5E3%3D27%5Cpi)
Volume of sphere=![\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Using the formula
Volume of sphere=![\frac{2}{3}\times 2\pi r^3=\frac{2}{3}(27\pi)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Ctimes%202%5Cpi%20r%5E3%3D%5Cfrac%7B2%7D%7B3%7D%2827%5Cpi%29)
Hence, the volume of sphere =![\frac{2}{3}(27\pi) ft^3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%2827%5Cpi%29%20ft%5E3)
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that's very interesting!! is there more to your question that we can answer?
The answer I got was x = {-0.649218941, -3.850781059}. Hope this helped =)
Answer:
4x+28
Step-by-step explanation:
Answer: x is 3/5
Step-by-step explanation: your welcome
Answer:
Step-by-step explanation:
5x - 4(2x - 5) = -10
5x - 8x + 20 = -10
-3x = -30
x = 10
y = 2(10) - 5 = 20 - 5 = 15
(10, 15)