Question

The formula for the volume of a sphere is mc012-1.jpg. What is the formula solved for r? mc012-2.jpg mc012-3.jpg mc012-4.jpg mc012-5.jpg

Answer 1

we know that

The volume of the sphere is equal to

$V=\frac{4}{3} \pi r^{3}$

where

r is the radius of the sphere

Solve for r

$V=\frac{4}{3} \pi r^{3}\\\\3V=4\pi r^{3}\\ \\r^{3}=\frac{3V}{4\pi}\\ \\r=\sqrt[3]{\frac{3V}{4\pi}}$

therefore

the answer is

$r=\sqrt[3]{\frac{3V}{4\pi}}$

Answer 2

Cannot see your image, but the formula for the volume of a sphere is
V=(4/3)πr³
to solve for r: r³=v÷(4/3)π=v*3/(4π)=3v/(4π) (three v out of 4 pi)
r=∛(3v/4π)
r equals the cubic root of (three v over 4π)