A cone and a cylinder have the same area base. The line's height is 6 times the height of the cylinder. How much greater is the volume of the cone? My teacher says you have to show your work
The cone's volume is 2 times greater.
Assuming that by line you meant cone:
The volume of a cone is always
This is visible from the formulas for each solid.
So if the height of the cone is 6 times larger than that of the cone, then the volume is