How do i solve for r? V=4/3pi r^3

Question

asked May 15, 2019 150k views

2 Answers

Duc Vu Nguyen · Answer 1 · 2019-05-15T18:54:07+0000

So firstly, divide both sides by pi:
$(V)/(\pi ) =(4)/(3) r^3$

Next, multiply both sides by 3/4:
$(3V)/(4\pi)=r^3$

Next, cube root both sides of the equation and your answer will be
$\sqrt[3]{(3V)/(4\pi)}=r$

Martijn Dashorst · Answer 2 · 2019-05-18T19:28:29+0000

Answer:
$r=\sqrt[3]{(3)/(4\pi)V}$

Explanation:

The given formula :-

$V=(4)/(3)\pi r^3$

Multiply 3 on both sides and divide
$4\pi$ on both sides , we get

$r^3=(3)/(4\pi)V$

Taking cube-root on both sides, we get

$r=\sqrt[3]{(3)/(4\pi)V}$

Therefore, the formula for r is
$r=\sqrt[3]{(3)/(4\pi)V}$ .