The variation equation is p = kr^2
<h3>How to determine the variation equation?</h3>The variables are give as:
Pressure = P
Radius= r
The direct variation from p to the square of r is represented as:
Express as an equation
p = kr^2
Where k represents the constant of variation
Hence, the variation equation is p = kr^2
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So with this equation, since the volume of the cylinder is 96 pi, plug that into the V variable, and since the radius of one of the marbles is 3, plug that into the r variable. From here, we can solve for x:
Firstly, solve the parentheses:
Next, multiply 36 pi and x:
Next, subtract 24 pi on both sides:
Lastly, divide both sides by 36 pi, and your answer will be , or B.