How much ice cream does the waffle cone hold?

Question

Elise fills a waffle cone with ice cream exactly level to the top of the cone. If the cone has a diameter of 238 inches and a height of 6 inches, how much ice cream does the waffle cone hold? Write your answer in terms of π. Round to the nearest hundredth.

Answer 1

cone has a diameter of 238 inches? maybe that's supposed to read 2.38 inches?

238 inches = 238/12 = nearly 2 feet wide, and 6 inches high? that's a very flat cone.

but go with it as written. although it's not written in stone.

volume of a cone = 1/3 of a cylinder = (1/3)pir^2 = pi(238/2)(1/3) = 169pi/3

=176.98 = about 177 cubic inches

try it as 2.38 inch diameter, then radius = 1.69 inches

volume = (1/3)pi(1.69)^2 = about 2.99 = 3 cubic inches

= about 60 times smaller in volume

than when the diameter = 238 inches