A cylindrical-shaped container requires 12 cubic feet of soil to be considered full. If a cone with a congruent base and height requires 4 cubic feet of soil, which statement describes how the volumes of these two figures are related?
A.The cylinder’s volume is 8 times the volume of the cone.
B.The cylinder’s volume is 2 times the volume of the cone.
C.The volume of the cone is of the volume of the cylinder.
D.The volume of the cone is of the volume of the cylinder.

Question

03-12-2021
Mathematics

contestada

A cylindrical-shaped container requires 12 cubic feet of soil to be considered full. If a cone with a congruent base and height requires 4 cubic feet of soil, which statement describes how the volumes of these two figures are related?
A.The cylinder’s volume is 8 times the volume of the cone.
B.The cylinder’s volume is 2 times the volume of the cone.
C.The volume of the cone is of the volume of the cylinder.
D.The volume of the cone is of the volume of the cylinder.

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akposevictor akposevictor · Answer 1 · 2021-12-17T10:41:42+01:00

The statement that describes the volumes of the two figures relate is: The volume of the cone is 1/3 of the volume of the cylinder

Given the following:

Volume of cylindrical-shaped container = 12 cubic feet

Volume of cone-shaped container = 4 cubic feet

Ratio of the volume of the cone to the volume of the cylinder = 4 : 12 = 1 : 3

Therefore the statement that describes the volumes of the two figures relate is: The volume of the cone is 1/3 of the volume of the cylinder

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