Question

What is the radius of a sphere with the volume of 972pi mm

Answer 1

`\large\text{Hey there!}`

`\mathsf{The\ sphere\ formula\ is: (4)/(3)\pi* r^3}`

`\mathsf{Now, that\ we\ have\ our\ formula\ let's\ solve\ for\ the\ equation}`

`\mathsf{So,\ first\ \bf{\underline{DIVIDE}}}\mathsf{\ both\ of\ your\ sides\ by\ \pi}`

`\mathsf{(4)/(3)r^3=972}\\\\\rightarrow\ \mathsf{r^3=972*(3)/(4)}\\\\\mathsf{972*(3)/(4)=729}\\\\\mathsf{\rightarrow\ r^3=729}`

`\mathsf{\sqrt[\mathsf{3}]{\mathsf{729}} = 81}\\\\\mathsf{√(81)=81/9=9}\\\\\mathsf{√(81)=9}\\\\\mathsf{r=9}`

`\boxed{\boxed{\mathsf{\bf{Answer: \boxed{\mathsf{radius = \bf{9}}}}}}}\checkmark`

`\large\text{Good luck on your assignment and enjoy your day!}`

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