Awater filter has the shape of an inverted right circular cone with base radius 3 meters and height 9 meters. water is being pumped into the filter at the rate of 10 meters3/sec. find the rate, in meters/sec, at which the water level is rising when the water is 3 meters deep. give 2 decimal places for your answer. type your answer in the space below. if your answer is a number less than 1, place a leading "0" before the decimal point (ex: 0.35).

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:

answer:

your answer is: c. 196 7/8 in^3.