If the cylinder and the cone shown have the same volume, then the radius and height of the cone could be which of these? Radius of the cone = 5; height of the cone = Radius of the cone = 5; height of the cone = Radius of the cone = 5; height of the cone =Radius of the cone = 5; height of the cone = Radius of the cone = 15; height of the cone = Radius of the cone = 15; height of the cone = Radius of the cone = 15; height of the cone = 4
To find the volume of a cylinder, you use the formula V = πr^2h, where r is the radius and h is the height. To find the volume of a cone, you use the formula V = (1/3)πr^2h.
Let's assume the volume of the cylinder and the cone are equal:
π(5^2)h = (1/3)π(5^2)h
25h = (5/3)25h
25h = 25h
h = h
Therefore, the radius and height of the cone could be any of the options listed, as long as the radius is 5 times the height. So, the correct combinations are:
Radius of the cone = 5; height of the cone = h
Radius of the cone = 15; height of the cone = 3