Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers.
-$$A = \frac { 1 } { 3 } \pi r ^ { 2 } \text { for } r$$
A) $r = \frac { 3 \pi } { \mathrm { A } }$
B) $r = \sqrt { \frac { \mathrm { A } } { 3 \pi } }$
C) $r = 3 \sqrt { \mathrm { A } \pi }$
D) $r = \sqrt { \frac { 3 \mathrm {~A} } { \pi } }$

Question

Quizplus · Accepted Answer

The formula can be rewritten as $r^2 = \frac{3A}{\pi}$. Taking the square root of both sides gives $r = \sqrt{\frac{3A}{\pi}}$.

Solve the Formula for the Indicated Letter A=13πr2 for rA = \frac { 1 } { 3 } \pi r ^ { 2 } \text { for } rA=31​πr2 for r

Solve the Formula for the Indicated Letter $A = \frac { 1 } { 3 } \pi r ^ { 2 } \text { for } r$