A trash can is shaped like a cylinder. The radius of the trash can is 12 inches, and the height of the container is 31.5 inches. Which measurement is closest to the volume of the trash can in cubic inches? 2,375.04 in3 14,250.26 in3 57,001.06 in3 4,750.09 in3

Step-by-step explanation:

For a cylinder:

where v is the volume, r is the radius of the cylinder, and h is the height.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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step-by-step explanation: