<h3><u>Radius as function of volume is:</u></h3>
![r(v) = \sqrt{\frac{3v}{20 \pi }}\ inches](https://tex.z-dn.net/?f=r%28v%29%20%3D%20%5Csqrt%7B%5Cfrac%7B3v%7D%7B20%20%5Cpi%20%7D%7D%5C%20inches)
<em><u>Solution:</u></em>
<em><u>The volume of cone is given as</u></em>:
![v = \frac{1}{3}\pi r^{2} h](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7D%20h)
Where,
r is the radius
h is the height
From given,
height = 20 inches
From formula,
![v = \frac{1}{3}\pi r^{2} h](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7D%20h)
Rearrange , so that r is alone in left side of equation
![3v = \pi r^2 h\\\\\pi r^2 h = 3v\\\\r^2 = \frac{3v}{\pi h}\\\\Take\ square\ root\ on\ both\ sides\\\\r = \sqrt{\frac{3v}{\pi h}}](https://tex.z-dn.net/?f=3v%20%3D%20%5Cpi%20r%5E2%20h%5C%5C%5C%5C%5Cpi%20r%5E2%20h%20%3D%203v%5C%5C%5C%5Cr%5E2%20%3D%20%5Cfrac%7B3v%7D%7B%5Cpi%20h%7D%5C%5C%5C%5CTake%5C%20square%5C%20root%5C%20on%5C%20both%5C%20sides%5C%5C%5C%5Cr%20%3D%20%5Csqrt%7B%5Cfrac%7B3v%7D%7B%5Cpi%20h%7D%7D)
Substitute h = 20
![r = \sqrt{\frac{3v}{20 \pi }}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cfrac%7B3v%7D%7B20%20%5Cpi%20%7D%7D)
Thus, radius as function of volume is:
![r(v) = \sqrt{\frac{3v}{20 \pi }}\ inches](https://tex.z-dn.net/?f=r%28v%29%20%3D%20%5Csqrt%7B%5Cfrac%7B3v%7D%7B20%20%5Cpi%20%7D%7D%5C%20inches)
Answer:
8x+4y
Step-by-step explanation:
so use the distributive property and multiply 4 into (2x+y), so you get
(2x*4) + (y*4) = 8x + 4y
hope this helped
You multiply length times width times height.
Answer: The equation in slope-intercept form: ![y=-5x+2](https://tex.z-dn.net/?f=y%3D-5x%2B2)
Step-by-step explanation:
The given equation of a line : ![y+3= -5(x-1)](https://tex.z-dn.net/?f=y%2B3%3D%20-5%28x-1%29)
The equation of a line in slope -intercept form: y=mx+c, where m= slope , c=y-intercept.
We first use distributive property(a(b+c)=ab+ac) to simplify the given equation, we get
![y+3=-5x+5](https://tex.z-dn.net/?f=y%2B3%3D-5x%2B5)
Subtract 3 from both sides, we get
![y=-5x-2](https://tex.z-dn.net/?f=y%3D-5x-2)
Hence, the equation in slope-intercept form: ![y=-5x+2](https://tex.z-dn.net/?f=y%3D-5x%2B2)
Answer:
101828.833333
Step-by-step explanation:
you have to multiply the two numbers then divide by 12