a) Consider the volume remaining if the top of the cone is cut off at h/4 from the top. Find a single integral that represents the volume of this truncated cone.

b) Consider the volume of a truncated sphere, where the top part of the sphere above R/2 from the top is removed. Find a single integral that represents the volume of this truncated sphere.

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a The volume of a cone can be calculated using the formula V 13 r2 h where r is the radius of the ba... View the full answer