a cone of height 24 cm and radius of base 6 cm is made up of modelling

1.	a cone of height 24 cm and radius of base 6 cm is made up of modelling clay.a child reshapes it in the form of a sphere .find the radius of the sphere.i know the answer but plz give a proper explanation.
Answer» $\sf {\large{Question: }}$ $\begin{gathered} \sf{ \green{A \: Cone \: of \: Height \: 24 \: cm \: and \: Radius \: of \: Base \: 6 \: cm}} \\ \sf{ \red{is \: made \: up \: of \: modelling \: clay \: a \: child \: Reshapes \: it}} \\ \sf{ \blue{in \: the \: form \: of \: a \: Sphere.}} \\ \sf{ \blue{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: find \: the \: radius \: of \: the \: sphere ?}}\end{gathered}$ $\sf{ \large{Method \: of \: Solution:}}$ $\sf{ \pink{Given}}$ $\begin{gathered} \implies{ \sf{ \blue{Height \: of \: the \: cone \: = 24cm}}} \\ \\ \implies{ \sf{ \green{ Radius \: \: of \: the \: cone \: = 6cm}}} \\ \\ \\ \implies{ \sf{ \red {Volume \: of \: the \: cone = \frac{1}{3} \times \frac{22}{7} \times ( {6}^{2} )\times 24}}} \\ \\ \\ \implies{ \sf{ \red {Volume \: of \: the \: cone = 905.14cm}}}\end{gathered}$ $\sf{ \fbox{ \pink{According \: to \: the \: Question:}}}$ $\sf{\red{Volume \: of \: the \: Sphere \: = \frac{3}{4} \times \frac{22}{7} \times ({r}^{3})}}$ $\sf{\purple{Volume \: of \: the \: Sphere \: = \frac{3}{4} \times \frac{3}{4} \times ({r}^{3})=905.14}}$ $\begin{gathered}\sf{\green{Volume \: of \: the \: Sphere \: = \frac{3}{4} \times \frac{22}{7} \times ({r}^{3})=905.14}} \\ \\ \sf{\red{Volume \: of \: the \: Sphere \: = \frac{66}{28} \times ( {r}^{3} ) = 905.14 }} \\ \\ \\ \sf{\green{Volume \: of \: the \: Sphere = {r}^{3} {\implies \: 216}}} \\ \\ \\ \sf{\blue{Volume \: of \: the \: Sphere = (r) {\implies 6cm}}}\end{gathered}$ $\sf{ \red{ \fbox{Hence, \: Required}}} \sf{ \green{ \fbox{ Radius \: of \: Sphere}}} \sf{ \blue{ \fbox{ = 6cm}}}$

a cone of height 24 cm and radius of base 6 cm is made up of modelling clay.a child reshapes it in the form of a sphere .find the radius of the sphere.i know the answer but plz give a proper explanation.

Answer»

$\sf {\large{Question: }}$

$\begin{gathered} \sf{ \green{A \: Cone \: of \: Height \: 24 \: cm \: and \: Radius \: of \: Base \: 6 \: cm}} \\ \sf{ \red{is \: made \: up \: of \: modelling \: clay \: a \: child \: Reshapes \: it}} \\ \sf{ \blue{in \: the \: form \: of \: a \: Sphere.}} \\ \sf{ \blue{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: find \: the \: radius \: of \: the \: sphere ?}}\end{gathered}$

$\sf{ \large{Method \: of \: Solution:}}$

$\sf{ \pink{Given}}$

$\begin{gathered} \implies{ \sf{ \blue{Height \: of \: the \: cone \: = 24cm}}} \\ \\ \implies{ \sf{ \green{ Radius \: \: of \: the \: cone \: = 6cm}}} \\ \\ \\ \implies{ \sf{ \red {Volume \: of \: the \: cone = \frac{1}{3} \times \frac{22}{7} \times ( {6}^{2} )\times 24}}} \\ \\ \\ \implies{ \sf{ \red {Volume \: of \: the \: cone = 905.14cm}}}\end{gathered}$

$\sf{ \fbox{ \pink{According \: to \: the \: Question:}}}$

$\sf{\red{Volume \: of \: the \: Sphere \: = \frac{3}{4} \times \frac{22}{7} \times ({r}^{3})}}$

$\sf{\purple{Volume \: of \: the \: Sphere \: = \frac{3}{4} \times \frac{3}{4} \times ({r}^{3})=905.14}}$

$\begin{gathered}\sf{\green{Volume \: of \: the \: Sphere \: = \frac{3}{4} \times \frac{22}{7} \times ({r}^{3})=905.14}} \\ \\ \sf{\red{Volume \: of \: the \: Sphere \: = \frac{66}{28} \times ( {r}^{3} ) = 905.14 }} \\ \\ \\ \sf{\green{Volume \: of \: the \: Sphere = {r}^{3} {\implies \: 216}}} \\ \\ \\ \sf{\blue{Volume \: of \: the \: Sphere = (r) {\implies 6cm}}}\end{gathered}$

$\sf{ \red{ \fbox{Hence, \: Required}}} \sf{ \green{ \fbox{ Radius \: of \: Sphere}}} \sf{ \blue{ \fbox{ = 6cm}}}$

a cone of height 24 cm and radius of base 6 cm is made up of modelling clay.a child reshapes it in the form of a sphere .find the radius of the sphere.i know the answer but plz give a proper explanation.

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a cone of height 24 cm and radius of base 6 cm is made up of modelling clay.a child reshapes it in the form of a sphere .find the radius of the sphere.i know the answer but plz give a proper explanation.​

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a cone of height 24 cm and radius of base 6 cm is made up of modelling clay.a child reshapes it in the form of a sphere .find the radius of the sphere.i know the answer but plz give a proper explanation.