Question - Evaluating Compound Statements and Solving for the Volume of a Cone

P: Compound statement is true.

Q: K can have any real value.

R: The volume of cone is \(\frac{1}{3}\pi r^2h\).

The relationship given is \(Q \to P\), which reads as "If Q then 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.

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.