Question

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)

3 inches

14 inches

4 inches

18 inches

Answer 1

Volume: (1/3)πr^2h. Set equal:

(1/3)π(3^2)(6) = (1/3)π(4^2)h
=> 9·6 = 16·h
=> h = 54/16 = 3.375 ≈ 3 inches.

Answer: 3 inches.