RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 21. Surface Area and Volume of a Sphere

Subject: Mathematics - Class 9th

Q. No. 12 of CCE - Formative Assessment

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12

If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is

Volume of a sphere = (4/3)πr3


Volume of a solid cone = (1/3)πr2h


Given, solid sphere of radius r is melted and cast into the shape of a solid cone of height r


Let the base radius be A.


(4/3)πr3 = (1/3)π × A2 × r


A = 2r

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