Susie runs an ice cream stand that also sells snow cones served in paper cones.
The paper cones she usually uses have a diameter of 6 inches and a height of 2 inches, but her supplier is out of them.
As a replacement, she purchases paper cones with a diameter of 2 inches and a height of 6 inches. How do the volumes of the original and replacement cones compare?
(1 point)
Responses
The original cone has a greater volume than the replacement cone.
The original cone has a greater volume than the replacement cone.
The original and replacement cones have the same volume.
The original and replacement cones have the same volume.
The replacement cone has a greater volume than the original cone.
The replacement cone has a greater volume than the original cone.
The original cone holds 2 times the amount as the replacement cone.
The original cone holds 2 times the amount as the replacement cone.
Volume of original cone = (1/3) * π * (3^2) * 2 = 6π cubic inches
Volume of replacement cone = (1/3) * π * (1^2) * 6 = 2π cubic inches
Therefore, the original cone holds 2 times the amount as the replacement cone.