Answer:
72-10=62
Step-by-step explanation:
For this case we have that 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%5Cfrac%20%7B1%7D%20%7B3%7D%20%2A%20%5Cpi%20%2A%20r%20%5E%202%20%2A%20h)
Where:
r: It is the radius of the cone
h: It is the height of the cone
According to the statement data we have:
![h = 12 \ cm\\V = 125 \ cm ^ 3](https://tex.z-dn.net/?f=h%20%3D%2012%20%5C%20cm%5C%5CV%20%3D%20125%20%5C%20cm%20%5E%203)
Substituting in the formula:
![125 = \frac {1} {3} * \pi * r ^ 2 * 12](https://tex.z-dn.net/?f=125%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20%2A%20%5Cpi%20%2A%20r%20%5E%202%20%2A%2012)
We cleared the radius:
![3 * 125 = \pi * r ^ 2 * 12\\\frac {3 * 125} {12 \pi} = r ^ 2\\9.9522 = r ^ 2\\r = \pm \sqrt {9.9522}](https://tex.z-dn.net/?f=3%20%2A%20125%20%3D%20%5Cpi%20%2A%20r%20%5E%202%20%2A%2012%5C%5C%5Cfrac%20%7B3%20%2A%20125%7D%20%7B12%20%5Cpi%7D%20%3D%20r%20%5E%202%5C%5C9.9522%20%3D%20r%20%5E%202%5C%5Cr%20%3D%20%5Cpm%20%5Csqrt%20%7B9.9522%7D)
We choose the positive value:
![r = 3.1547](https://tex.z-dn.net/?f=r%20%3D%203.1547)
We round and we have that the radius of the cone is:
![r = 3.16 \ cm](https://tex.z-dn.net/?f=r%20%3D%203.16%20%5C%20cm)
ANswer:
![r = 3.16 \ cm](https://tex.z-dn.net/?f=r%20%3D%203.16%20%5C%20cm)
B. they are somewhat similar im
87% sure
Perpendicular = opposite sign and reciprocal slope
-4 slope turns into 1/4
Y = 1/4x + b
11 = 1/4(-16) + b
11 = -4 + b, b = 15
Solution: y = 1/4x + 15