The external deameter of a hollow gold-sphere is 12 cm and it is made – InterviewSolution

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1.	The external deameter of a hollow gold-sphere is 12 cm and it is made of a plate of thickness 1cm. If the mass of 1cc gold be 19.5 gm and the price of 1 gm gold be ₹ 1280, then what is the price of the whole solid sphere?
Answer» The external deameter of a hollow gold-sphere is 12 cm and the thickness of it is 1 cm. `:.` the external radius of the gold-radius is `(12)/(2) `cm =6 cm and its internal radius =(6-1) cm =5 cm. So the volume of the sphere `=((4)/(3)pixx6^(3)-(4)/(3)pixx5^(3))cc =(4)/(3)pi(216-125) cc` `=(4)/(3)xx(22)/(7)xx91 "cc" =(88xx13)/(3) ` cc. The mass of 1 cc gold =19.5 gm. `:.` the mass of `(88xx13)/(3) "cc gold" =(88xx13)/(3)xx19.5` gm `:.` the price of the gold-sphere `=₹(88xx13)/(3)xx19.5xx1280`=₹9518080. Hence the required cost of the hollow gold-sphere =₹9618080.

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