We know that
original volume of a cylinder=pi*r²*h
volume=1692.46 in³
1692.46=pi*r²*h
<span>if the radius becomes three times as large
so
r=3*r
new volume=pi*(3*r)</span>²*h----> 9*pi*r²*h
new volume=9*original volume
new volume=9*1692.46----> 15232.14 in³
the answer is
the new volume is 15232.14 in³
Answer:
![x_1 = 5, x_2 =11, y_1 =9, y_2 = -3](https://tex.z-dn.net/?f=%20x_1%20%3D%205%2C%20x_2%20%3D11%2C%20y_1%20%3D9%2C%20y_2%20%3D%20-3)
The slope can be founded with this formula:
![m =\frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
And replacing we got:
![m =\frac{-3 -9}{11-5}= -2](https://tex.z-dn.net/?f=%20m%20%3D%5Cfrac%7B-3%20-9%7D%7B11-5%7D%3D%20-2)
And the best answer for this case would be :
![m=-2](https://tex.z-dn.net/?f=m%3D-2)
Step-by-step explanation:
For this case we have the following two points given:
![x_1 = 5, x_2 =11, y_1 =9, y_2 = -3](https://tex.z-dn.net/?f=%20x_1%20%3D%205%2C%20x_2%20%3D11%2C%20y_1%20%3D9%2C%20y_2%20%3D%20-3)
The slope can be founded with this formula:
![m =\frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
And replacing we got:
![m =\frac{-3 -9}{11-5}= -2](https://tex.z-dn.net/?f=%20m%20%3D%5Cfrac%7B-3%20-9%7D%7B11-5%7D%3D%20-2)
And the best answer for this case would be :
![m=-2](https://tex.z-dn.net/?f=m%3D-2)
(-inf,2/3) or (2/3,inf)
if x=2/3 then y is undefined