Answer:
The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).
Step-by-step explanation:
Cylinder:
-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:
![V = \pi r^2 h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E2%20h)
![V = \pi 2^2 6](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%202%5E2%206)
-Solve:
![V = \pi 2^2 6](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%202%5E2%206)
![V = \pi \times 2^2 \times 6](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ctimes%202%5E2%20%5Ctimes%206)
![V = \pi \times 4 \times 6](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ctimes%204%20%5Ctimes%206)
![V = \pi \times 24](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ctimes%2024)
--------------------------------------------------------------------------------------------------------
Cone:
-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:
![V = \frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
![V = \frac{1}{3} \pi 3^28](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%203%5E28)
-Solve:
![V = \frac{1}{3} \pi 3^28](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%203%5E28)
![V = \frac{1}{3} \times \pi \times 3^2 \times 8](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%203%5E2%20%5Ctimes%208)
![V = \frac{1}{3} \times \pi \times 9 \times 8](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%209%20%5Ctimes%208)
![V = \frac{1}{3} \times \pi \times 72](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%2072)
![V = \frac{1}{3} \pi \times 72](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%5Ctimes%2072)
-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.
Cylinder:
![ft^3](https://tex.z-dn.net/?f=ft%5E3)
Cone:
![ft^3](https://tex.z-dn.net/?f=ft%5E3)
Answer: The answer is ¨B¨
Step-by-step explanation:
...............the answer is D