Math CentralQuandaries & Queries


Question from kalpaj, a student:

A conical funnel holds 100ml. If the height of the funnel is 10 cm, determine
its radius, to the nearest tenth of a centimeter.


The volume V of a cone is given by

V = 1/3 π r2 h

where r is the radius and h is the height. One milliliter is one cubic centimeter and hence you have h = 10 cm and V = 100 cc. Substitute these values in the the volume equation and solve for r.


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