Question

Please help in this one​

Answer 1

Answer:
`49.79\ m`

Explanation:

Given

The volume of the spherical solid is
`V=123,456\ m^3`

It is melted to form a solid cube

Suppose the edge length of the cube is
`a`

The volume of the sphere is
`(4)/(3)\pi r^3`

`\Rightarrow 123,456=a^3\\\Rightarrow a^3=123,456\\\text{Factorising 123,456}\\\Rightarrow a^3=2^6* 3* 643\\\\\Rightarrow a=\sqrt[3]{2^6* 3* 643} \\\\\Rightarrow a=4\sqrt[3]{ 3* 643}\\\\\Rightarrow a=49.79\ m`