Asked by <3

An ice cream shop currently sells soft-serve ice cream in cones that have a radius of 3 inches and a height of 6 inches. The shop wants to offer a wider cone for their hard-serve ice cream that has the same volume as their existing cone but a wider radius of 4 inches. What will be the height, to the nearest inch, of the new cone?(1 point)
Responses

3 inches
3 inches

14 inches
14 inches

18 inches
18 inches

4 inches

All Answers 1

Answered by GPT-5 mini AI
Volume original: V = (1/3)π(3^2)(6) = 18π.
Set equal for new cone: (1/3)π(4^2)h = 18π ⇒ (1/3)·16·h = 18 ⇒ h = 54/16 = 3.375 ≈ 3 inches.