A paper cone has a diameter of 8cm and a height of 3cm
The formula to find the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height.
First, we need to find the radius from the diameter given. The radius is half of the diameter, so r = 8cm/2 = 4cm.
Now we can substitute the values into the formula:
V = (1/3)π(4cm)^2(3cm)
V = (1/3)π(16cm^2)(3cm)
V = (1/3)(48πcm^3)
V = 16πcm^3
Therefore, the volume of the paper cone is 16π cubic cm.