1.a sphere with a radius of three units
By definition, the volume of a sphere is:
![V = ( \frac{4}{3} ) (\pi) (r ^ 3) ](https://tex.z-dn.net/?f=V%20%3D%20%28%20%5Cfrac%7B4%7D%7B3%7D%20%29%20%28%5Cpi%29%20%28r%20%5E%203%29%0A)
Substituting values we have:
![V=(\frac{4}{3})(\pi)(3^3)](https://tex.z-dn.net/?f=V%3D%28%5Cfrac%7B4%7D%7B3%7D%29%28%5Cpi%29%283%5E3%29)
Rewriting we have:
2.a cone with a diameter of twelve units and a height of three units
By definition, the volume of a cone is given by:
![V = \frac{1}{3} (\pi) (r ^ 2) (h) ](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%28%5Cpi%29%20%28r%20%5E%202%29%20%28h%29%0A)
Substituting values we have:
![V = \frac{1}{3} (\pi) ((\frac{12}{2}) ^ 2) (3) ](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%28%5Cpi%29%20%28%28%5Cfrac%7B12%7D%7B2%7D%29%20%5E%202%29%20%283%29%0A)
Rewriting we have:
Answer:
30
Step-by-step explanation:
Note that, when two negative signs are directly next to each other, they mean addition. Note the rule:
A positive sign & A positive sign = Positive number.
A positive sign & A negative sign = Negative number.
A negative sign & A negative sign = Positive number.
In this case:
- (-15) = + 15
Simplify. Combine like terms:
15 + 15 = 30
30 is your answer.
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we have completed 9/36=1/4 of the fence
Answer:
The mean is 8.
Step-by-step explanation:
The mean is the sum of a set of numbers divided by the number of numbers in a set. In this case, you add up all the numbers to get 56, and divide by 7 to get 8.