To find the volume of a cylinder, you use the formula V = πr^2h, where r is the radius and h is the height. The volume of a cone is given by V = (1/3)πr^2h.
Since the two shapes have the same volume, we can set their volume formulas equal to each other:
πr^2h = (1/3)πr^2h
This simplifies to:
3h = h
This means that the height of the cone must be three times the height of the cylinder. Looking at the given options, the correct answer would be:
Radius of the cone = 5; height of the cone = 4
Because when h = 4, 3h = 12, which matches the height of the cylinder.
If the cylinder and the cone shown have the same volume, then the radius and height of the cone could be which of these? (2 points) Responses radius of the cone = 5; height of the cone = 12 radius of the cone = 5; height of the cone = 12 radius of the cone = 5; height of the cone = 4 radius of the cone = 5; height of the cone = 4 radius of the cone = 15; height of the cone = 12 radius of the cone = 15; height of the cone = 12 radius of the cone = 15; height of the cone = 4
1 answer
1 answer