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:
[tex]V = \pi r^2 h[/tex]
[tex]V = \pi 2^2 6[/tex]
-Solve:
[tex]V = \pi 2^2 6[/tex]
[tex]V = \pi \times 2^2 \times 6[/tex]
[tex]V = \pi \times 4 \times 6[/tex]
[tex]V = \pi \times 24[/tex]
[tex]V = 24\pi \approx 75.39[/tex]
--------------------------------------------------------------------------------------------------------
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:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
[tex]V = \frac{1}{3} \pi 3^28[/tex]
-Solve:
[tex]V = \frac{1}{3} \pi 3^28[/tex]
[tex]V = \frac{1}{3} \times \pi \times 3^2 \times 8[/tex]
[tex]V = \frac{1}{3} \times \pi \times 9 \times 8[/tex]
[tex]V = \frac{1}{3} \times \pi \times 72[/tex]
[tex]V = \frac{1}{3} \pi \times 72[/tex]
[tex]V = 24\pi \approx 75.39[/tex]
-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.
Cylinder: [tex]75.39[/tex] [tex]ft^3[/tex]
Cone: [tex]75.39[/tex] [tex]ft^3[/tex]