A hole is drilled through the center of a ball of radius r, leaving a solid with a hollow cylindrical core of height h. Show that the volume of this solid is independent of the radius of the ball.

Answered: A hole is drilled through the center of…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 51AR

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A hole is drilled through the center of a ball of radius r, leaving a solid with a hollow cylindrical core of height h. Show that the volume of this solid is independent of the radius of the ball.

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$G i v e n t h a t t h e c e n t e r o f a b a l l o f r a d i u s r; a n d t h e h e i g h t o f t h e c y l i n d e r b e h T o p r o v e : V o l u m e o f t h i s s o l i d i s i n d e p e n d e n t o f t h e r a d i u s o f t h e b a l l$

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