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A Solid Sphere of Radius R is Melted and Cast into the Shape of a Solid Cone of Height R, the Radius of the Base of the Cone is - Mathematics

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Question

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

Options

  • 2r

  •  3r

  • r

  • 4r

MCQ

Solution

Volume of sphere = volume of the cone

`4/3 pir^(3^3) = 1/3 piR^2 xx r`

       `R^2 = 4r^2`

         `R = 2r`

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Chapter 14: Surface Areas and Volumes - Exercise 14.5 [Page 88]

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RD Sharma Mathematics [English] Class 10
Chapter 14 Surface Areas and Volumes
Exercise 14.5 | Q 4 | Page 88

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