Question

The volume of a sphere is given by $V=\frac{4}{3} \pi r^3$. Make $r$ as the subject of the formula.

• A. $\sqrt{\frac{3 V}{4 \pi}}$
• B. $\frac{3 V}{4 \pi}$
• C. $\left(\frac{3 V}{\pi}\right)^{\frac{1}{3}}$
• D. $\left(\frac{3 V}{4 \pi}\right)^{\frac{1}{3}}$

Answer 1

Answer: (D)

(i) Apply transposition.
(ii) Cross multiply and then write $r^3$ on LHS remaining on RHS.
(iii) Apply cube root on both the sides.