A metallic cone of base radius 2.1 cm and height 8.4 cm is melted and moulded into a sphere. The radius of the sphere is

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KollegeApply · Accepted Answer

2 . 1 cm Radius of cone = 2.1 cm Height of cone = 8.4 cm Volume of cone`= $\frac{1}{3}$ pi"r"^2"h" = $\frac{1}{3}$pi (2.1)^2xx8.4 "Volume of the sphere" = $\frac{4}{3}$ pi"r"^3` Therefore, Volume of cone = Volume of sphere `=> $\frac{1}{3}$pixx(2.1)^2xx8.4=$\frac{4}{3}$pi"r"^3` $\Rightarrow$ 4.41 $\times$ 8.4 = 4r3 $\Rightarrow$ 37.044 = 4r3 => "r"^3 = 37.$\frac{044}{4}$ = r3 = (2.1)3

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