A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere. contexto.140 3 years ago Volume of rectangular block Let r be the radius of sphere. Therefore, the radius of sphere = 21 cm
![\[=\text{ }49\text{ x }44\text{ x }18\text{ }c{{m}^{3}}~=\text{ }38808\text{ }c{{m}^{3}}~\ldots \ldots \text{ }\left( i \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-41f956b90dd0813def3870f57254d88a_l3.png "Rendered by QuickLaTeX.com")
![\[\begin{array}{*{35}{l}} the\text{ }volume\text{ }=\text{ }4/3\text{ }\pi {{r}^{3}}~=\text{ }4/3\text{ x }22/7\text{ x }{{r}^{3}}~=\text{ }88/21\text{ }{{r}^{3}}~\ldots ..\text{ }\left( ii \right) \\ 88/21\text{ }{{r}^{3}}~=\text{ }38808 \\ {{r}^{3}}~=\text{ }\left( 38808\text{ x }21 \right)/\text{ }88\text{ }=\text{ }441\text{ x }21 \\ =\text{ }9261 \\ r\text{ }=\text{ }21\text{ }cm \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ac4c6f3828b91907375a31b9965048f0_l3.png "Rendered by QuickLaTeX.com")
