Answer:
22π cm³
Step-by-step explanation:
Let's start with the formulas for volume:
volume of cylinder = πr²h
volume of cone = (1/3)πr²h
Notice the formulas above for the volume of a cylinder and the volume of a cone. The only difference is that the volume of the cone has the fraction 1/3 multiplying the rest, and the rest is exactly the same as in the volume of the cylinder.
That means that if a cylinder and a cone have the same radius and height, the volume of the cone is 1/3 the volume of the cylinder.
Here, the cylinder and cone do have the same radius and height. That means the volume of the cone is 1/3 the volume of the cylinder.
The volume of the cylinder is 66π cm³.
The volume of the cone is 1/3 of that volume, so divide 66π cm³ by 3 to find it.
volume of cone = 66π cm³ / 3 = 22π cm³
Answer: 22π cm³
