Answer:
-102/7 as a mixed number is -14 4/7
Step-by-step explanation:
The formula for finding the volume of a cube is V = a^3
Where a is the length of a side.
6(a+3) = 18 + 6a
Distrubute the 3 to the a and the 3.
6a + 18 = 18 + 6a
- 6a - 6a
----------------------------
18 = 18
True
Answer: All Real Numbers
Answer:
-2 is correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
A cone has a volume formula of ![\frac{1}{3} \pi r^{2} h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E%7B2%7D%20h)
A cylinder has a volume formula of ![\pi r^{2} h](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20h)
So if both of the shapes have the same base and height as in 'h' and 'r' are equal, than the cone has 1/3 the volume of the cylinder.
Thus:
![V_{cone} =\frac{1}{3} V_{cylinder} \\90 = \frac{1}{3} V_{cylinder}\\V_{cylinder} = 270](https://tex.z-dn.net/?f=V_%7Bcone%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%20V_%7Bcylinder%7D%20%5C%5C90%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20V_%7Bcylinder%7D%5C%5CV_%7Bcylinder%7D%20%3D%20270)
Thus the volume of the cylinder is 270 cubic inches.
Hope that helps!