Answer:9.51
Step-by-step explanation:You add them for the total
So we will be using
form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.
![2=-8(-2)+b](https://tex.z-dn.net/?f=%202%3D-8%28-2%29%2Bb%20)
Firstly, do the multiplication: ![2=16+b](https://tex.z-dn.net/?f=%202%3D16%2Bb%20)
Next, subtract 16 on both sides, and your answer will be -14 = b
Using the previous info we have, our equation is y = -8x - 14
The volume of sphere is
feet cubed.
Step-by-step explanation:
Given,
Surface area of sphere = 196π square feet
Surface area of sphere = 4πr²
We will find radius of sphere.
![4\pi r^2=196\pi](https://tex.z-dn.net/?f=4%5Cpi%20r%5E2%3D196%5Cpi)
Dividing both sides by 4π
![\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%20r%5E2%7D%7B4%5Cpi%7D%3D%5Cfrac%7B196%5Cpi%7D%7B4%5Cpi%7D%5C%5C%5C%5Cr%5E2%3D49)
Taking square root on both sides
![\sqrt{r^2}=\sqrt{49}\\r=7](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%7D%3D%5Csqrt%7B49%7D%5C%5Cr%3D7)
The radius is 7 feet.
Volume of sphere = ![\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
![Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi](https://tex.z-dn.net/?f=Volume%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%287%29%5E3%5C%5C%5C%5CVolume%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%2A343%5C%5C%5C%5CVolume%20%3D%20%5Cfrac%7B1372%7D%7B3%7D%5Cpi)
The volume of sphere is
feet cubed.
Keywords: volume, surface area
Learn more about surface area at:
#LearnwithBrainly