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.
The statement that describes the volumes of the two figures relate is: <em>The </em><em>volume of the cone</em><em> is 1/3 of the </em><em>volume of the cylinder</em>
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: <em>The </em><em>volume of the cone</em><em> is 1/3 of the </em><em>volume of the cylinder</em>
Area: If you multiply 2 1/3 by 5 2/5, you get an answer of about: 12.6, which means the area is about: 12.6in. squared. Perimeter: If you add 2 1/3+ 2 1/3+ 5 2/5+ 5 2/5 you get an answer of about: 15.47. So, the perimeter is about 15.47in.
Note: If you aren't allowed to use a calculator on this test, you should probably multiply the numbers yourself so you get show the work and get the answer in a fraction, which is probably what they want. If you are allowed to use calculators, all the information you need is right here.
