Which solid has a greater volume

Question

asked Dec 7, 2021 82.2k views

2 Answers

Harut · Answer 1 · 2021-12-12T13:45:28+0000

Answer:

The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).

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:

$V = \pi 2^2 6$

$V = \pi * 2^2 * 6$

$V = \pi * 4 * 6$

$V = \pi * 24$

$V = 24\pi \approx 75.39$

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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:

$V = (1)/(3) \pi r^2h$

$V = (1)/(3) \pi 3^28$

-Solve:

$V = (1)/(3) \pi 3^28$

$V = (1)/(3) * \pi * 3^2 * 8$

$V = (1)/(3) * \pi * 9 * 8$

$V = (1)/(3) * \pi * 72$

$V = (1)/(3) \pi * 72$

$V = 24\pi \approx 75.39$

-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