Take a unit square piece of paper with vertices ABCD. Join edges AB and AC to make a cone-like new three dimensional structure which is durable and water-tight.

a) What volume of water will the paper cone hold, if it is held with the axis of the cone oriented vertically?

b) What volume of water will the paper cone hold, if it is held however is necessary to maximize the amount of water it can hold?

(a) The required volume of water held by the paper cone is approximately equal to 0.06337154181
 

Posted by K Sengupta on 2022-12-21 02:03:47