Question

a local ice cream parlor serves ice cream in cone - shaped container. The height of the cone is 10 inches and the radius of the cone is 4 inches. If one scoop of ice cream is approximately 34 cubic inches, about how many scoops will it take to fill the container

Answer 1

We want to determine how many scoops of 34 cubic inches would fill the cone. The first step is to determine the volume of the cone. The formula for finding the volume of a cone is expressed as

Volume = 1/3 x pi x radius^2 x height

pi = 3.14

radius = 4

height = 10

Volume = 1/3 x 3.14 x 4^2 x 10

Volume = 167.47 inches^3

Thus, to know how many scoops of 34 cubic inches that is required to fill the cone, we would divide the volume of the cone by the volume of a scoop

Thus,

number of scoops = 167.47/34 = 4.93

Approximately 5 scoops