Question

Pete runs an ice cream stand that also sells snow cones served in paper

cones.
The paper cones he usually uses have a diameter of 3 inches and a height
of 4 inches, but his supplier is out of them.
As a replacement, he purchases paper cones with a diameter of 4 inches
and a height of 3 inches. How do the volumes of the original and
replacement cones compare?
(2 points)
The original cone holds more than the replacement.
The original and replacement cones have the same volume.
The replacement cone holds more than the original.
The replacement cone and original cone volumes cannot be found from
the information.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.

For the original cone:
r = 3/2 = 1.5 inches
h = 4 inches
V = (1/3)π(1.5)^2(4) = 3π cubic inches

For the replacement cone:
r = 4/2 = 2 inches
h = 3 inches
V = (1/3)π(2)^2(3) = 4π cubic inches

Since 4π > 3π, the replacement cone holds more volume than the original cone. So, the answer is:
The replacement cone holds more than the original.