Evaluating Compound Statements and Solving for the Volume of a Cone
<p>P: Compound statement is true.</p>
<p>Q: K can have any real value.</p>
<p>R: The volume of cone is \(\frac{1}{3}\pi r^2h\).</p>
<p>The relationship given is \(Q \to P\), which reads as "If Q then P".</p>
<p>Since P is true, it does not give us information about the truth value of Q because a true conclusion can come from both a true or false premise. That means K can have any real value.</p>
<p>Given R: The volume of a cone formula is \(V = \frac{1}{3}\pi r^2h\), where \(r\) is the radius and \(h\) is the height of the cone. This is generally true for any cone, and the given statement R is a standard formula used to calculate the volume of a cone.</p>
