High School

Esther gets a scoop of ice cream in a cone, and Jasmine gets a scoop of ice cream in a cylindrical cup. Each scoop of ice cream is a sphere with a radius of 4 centimeters.

A) Find the volume of each girl's scoop of ice cream.

Answer :

Given that,Each scoop of ice cream is a sphere with a radius of 4 cm.Since the radius of the sphere is 4 cm.Volume of the sphere = (4/3)πr³

Where, r = 4Volume of the sphere = (4/3)π (4)³= (4/3)π (64)= (4/3)π x 64The volume of the sphere is 268.08 cubic centimeters. (approximate)Now,Esther gets a scoop of ice cream in a cone.So, the volume of ice cream is the volume of the sphere = 268.08 cubic centimeters. (approximate)Jasmine gets a scoop of ice cream in a cylindrical cup.Since the ice cream scoop is in the shape of a sphere, it is not easy to measure its volume in a cylindrical cup. Therefore, the volume of the cylindrical cup must be greater than 250 cubic centimeters.

(approximate)Therefore, the volume of each girl's scoop of ice cream is Esther's scoop of ice cream = 268.08 cubic centimeters (approximate)Jasmine's scoop of ice cream > 250 cubic centimeters (approximate)

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