a paper cone has a base diameter of 8cm and a height of 3cm
To find the volume of the cone, we can use the formula 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 of the base. The diameter is given as 8cm, so the radius is half of that: 4cm.
Now we can plug in the values of r and h into the formula:
V = (1/3)π(4cm)^2(3cm)
Simplifying this, we get:
V = (1/3)π(16cm^2)(3cm)
V = (1/3)π(48cm^3)
V = 16π cm^3
Therefore, the volume of the cone is 16π cubic centimeters.