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

Answer 1

Volume of sphere = volume of the cone

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

       `R^2 = 4r^2`

         `R = 2r`