Math CentralQuandaries & Queries


Question from Tamriko, a student:

Hi! Help me, please to solve the following problem: The diameter of an ice-cream cone is 6 cm and the slant height is 10 cm. What volume of ice-cream would fit inside the cone? Thanks!


The volume of a cone is 1/3 π r2 h where r is the radius of the open end of the cone and h is the height. You know the radius is 6/2 = 3 cm but you know the slant height rather than the height.

ice-craem cone

What does Pythagoras theorem tell you about the height?


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