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)
radius of the con*theta =5: height of the cone= 12
radius of the cone = 15 ) height of the cone= 4
radius of the co * n deg =5: height of the cone= 4
radius of the cone= 15 : height of the cone= 12
To calculate the volume of the cylinder, use the formula V = πr^2h, where r is the radius and h is the height. To calculate the volume of the cone, use the formula V = 1/3πr^2h.
Let's use the volume of the cylinder as a base for comparison and set it equal to the volume of the cone:
π(5^2)(12) = 1/3π(5^2)(h)
300π = 25πh
h = 12
Therefore, the correct answer is:
radius of the cone * theta = 5: height of the cone = 12