1 Answer

Crobzilla · Answer 1 · 2017-12-30T21:30:11+0000

V of w sphere =
(4)/(3)

$\pi$ r³
Multiply by 3 on either sides to get rid of the fraction.

$V * 3 = (4)/(3) *3 \pi r^3$
3V = 4
$\pi$ r³
Now divide either sides by 4
$\pi$ to isolate r³

$(3V)/(4 \pi ) = (4 \pi )/(4 \pi )$ r³
4
$\pi$ and 4
$\pi$ cancels out

$(3V)/(4 \pi )$ = r³
Take the cube root to isolate r.

$\sqrt[3]{ (3V)/(4 \pi ) } = \sqrt[3]{r^3}$
the cube root cancels the cube

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

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