### Instruction: How many cubic centimeters are in the volume of a cone having a diameter of 10cm and a height of 6cm? Express your answer in terms of $\pi$.### Response: The volume of a cone is equal to $\frac{1}{3}\pi r^2 h$.
We know that the diameter is 10, so the radius is 5.
And the height is 6.
So let's plug that in to the formula. $\frac{1}{3}\pi(5)^26=\frac{1}{3}\pi(25)(6)=\frac{1}{3}(150)\pi=50\pi$.