Answer:
Cylinder Volume = PI * radius^2 * height
Radius = Square Root [Volume / (PI * height)]
Radius = Square Root [ 134 / (3.14 * 7.1)]
Radius = 2.45103
Radius = 2.45
Step-by-step explanation:
Answer:
D SORRY IF WRONG
Step-by-step explanation:
Answer:
Explanation:1) Expression given:
![\frac{ \frac{x+2}{x^3+2x^2-9x-18} }{ \frac{3x+1}{x^2-9} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cfrac%7Bx%2B2%7D%7Bx%5E3%2B2x%5E2-9x-18%7D%20%7D%7B%20%5Cfrac%7B3x%2B1%7D%7Bx%5E2-9%7D%20%7D%20)
2) Factor the denominator of the first fraction:
![x^3+2x^2-9x-18=(x^3+2x^2)-(9x+18)=x^2(x+2)-9(x+2)=](https://tex.z-dn.net/?f=x%5E3%2B2x%5E2-9x-18%3D%28x%5E3%2B2x%5E2%29-%289x%2B18%29%3Dx%5E2%28x%2B2%29-9%28x%2B2%29%3D)
![(x+2)(x^2-9)](https://tex.z-dn.net/?f=%28x%2B2%29%28x%5E2-9%29)
3) Rewrite the expression
![\frac{ \frac{x+2}{(x+2)(x^2-9)} }{ \frac{3x+1}{x^2-9} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cfrac%7Bx%2B2%7D%7B%28x%2B2%29%28x%5E2-9%29%7D%20%7D%7B%20%5Cfrac%7B3x%2B1%7D%7Bx%5E2-9%7D%20%7D%20)
4) In the upper fraction x+2 in the numerator cancels out with x + 2 in the denominator.
![\frac{ \frac{1}{x^2-9} }{ \frac{3x+1}{x^2-9} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cfrac%7B1%7D%7Bx%5E2-9%7D%20%7D%7B%20%5Cfrac%7B3x%2B1%7D%7Bx%5E2-9%7D%20%7D%20)
5) x² - 9 in both denominators cancel out each other, and the final result is: