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kotykmax [81]
2 years ago
15

Which solid has a greater volume

Mathematics
1 answer:
Triss [41]2 years ago
5 0

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

V = \pi 2^2 6

-Solve:

V = \pi 2^2 6

V = \pi \times 2^2 \times 6

V = \pi \times 4 \times 6

V = \pi \times 24

V = 24\pi \approx 75.39

--------------------------------------------------------------------------------------------------------

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

V = \frac{1}{3} \pi 3^28

-Solve:

V = \frac{1}{3} \pi 3^28

V = \frac{1}{3} \times \pi \times 3^2 \times 8

V = \frac{1}{3} \times \pi \times 9 \times 8

V = \frac{1}{3} \times \pi \times 72

V = \frac{1}{3} \pi \times 72

V = 24\pi \approx 75.39

-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.

Cylinder: 75.39 ft^3

Cone: 75.39 ft^3

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