Question
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
(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
Answers
GPT 3.5
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
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