Answer:
The answer is A) 379.9
Step-by-step explanation:
3.14(11^2)
3.14*11^2
3.14*(11*11)
379.94 if rounded to the nearest tenth it would be 379.9
The simplified expression is 17z
Answer:
4 pitchers
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
![V=\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7Dh)
step 1
Find the volume of the cylinder with height 9 inches and radius r
substitute the given values
![V_1=\pi r^{2}(9)](https://tex.z-dn.net/?f=V_1%3D%5Cpi%20r%5E%7B2%7D%289%29)
![V_1=9\pi r^{2}\ in^3](https://tex.z-dn.net/?f=V_1%3D9%5Cpi%20r%5E%7B2%7D%5C%20in%5E3)
step 2
Find the volume of the cylinder with height 9 inches and radius 2r
substitute the given values
![V_2=\pi (2r)^{2}(9)](https://tex.z-dn.net/?f=V_2%3D%5Cpi%20%282r%29%5E%7B2%7D%289%29)
![V_2=36\pi r^{2}\ in^3](https://tex.z-dn.net/?f=V_2%3D36%5Cpi%20r%5E%7B2%7D%5C%20in%5E3)
step 3
we know that
The volume of the cylinder 1 can fill a certain pitcher,
so
The volume of the pitcher is the same that the volume of cylinder 1
therefore
the number of pitchers that can be filled by the second cylinder is equal to divide the volume of the second cylinder by the volume of the first cylinder
![\frac{36\pi r^{2}}{9\pi r^{2}}=4\ pitchers](https://tex.z-dn.net/?f=%5Cfrac%7B36%5Cpi%20r%5E%7B2%7D%7D%7B9%5Cpi%20r%5E%7B2%7D%7D%3D4%5C%20pitchers)