Solve the equation for the specified variable. $d = \sqrt [ 3 ] { \frac { 24 V } { \pi } } \text { for } V$
A) $V = \frac { \pi d ^ { 3 } } { 24 }$
B) $V = \frac { \pi d ^ { 3 } } { 23 }$
C) $V = \frac { \pi d ^ { 2 } } { 24 }$
D) $V = \frac { d ^ { 3 } } { 24 \pi }$
E) $V = \frac { \pi d ^ { 2 } } { 25 }$

Question

Quizplus · Accepted Answer

To solve for $V$, cube both sides of the equation to get rid of the cube root, resulting in $d^3 = \frac{24V}{\pi}$. Then, solve for $V$ by multiplying both sides by $\pi$ and dividing by 24, which gives $V = \frac{\pi d^3}{24}$.

Solve the Equation for the Specified Variable d=24Vπ3 for Vd = \sqrt [ 3 ] { \frac { 24 V } { \pi } } \text { for } Vd=3π24V​​ for V

Solve the Equation for the Specified Variable $d = \sqrt [ 3 ] { \frac { 24 V } { \pi } } \text { for } V$