Afilter in the shape of a cone has a diameter of 3 inches and a height of 4 inches how much liquid can the filter hold without it overflowing

The volume of a cone is V=(1/3)*(pi)*(r^2 )*(height)

V=(1/3)*(pi)*(1.5^2)(4)

V=9.43

or in terms of pi

V=3pi

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: