Answer:
[tex]\sf \pi = \dfrac{3V}{4r^3}[/tex]
Explanation:
Equation:
[tex]V = \dfrac{4}{3} \pi r^3[/tex]
Task: make pie the subject.
cross multiply
[tex]\sf \dfrac{3V}{4} = \pi r^3[/tex]
divide both sides by r³
[tex]\sf \dfrac{3V}{4} \div r^3= \pi r^3 \div r^3[/tex]
simplify following
[tex]\sf \dfrac{3V}{4r^3} = \pi[/tex]
Hence:
[tex]\sf \pi = \dfrac{3V}{4r^3}[/tex]
