Question

Solve for r . V =4/3πr^3​

Answer 1

Answer:

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

Step-by-step explanation:

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

Answer 2

The equation for r is $\sqrt[3]{3V/4π}$

Given - Volume formula

Find - Radius

Solution - The formula according to radius is as follows -

Rewriting the equation -

V = 4/3 × π × r³, where V represents volume and r represents radius

Shifting values from Right Hand Side of the equation to the Left Hand Side of the equation. Rewriting the formula according to radius -

r³ = 3V/4π

Taking cube root of the formula -

r = $\sqrt[3]{3V/4π}$

So, the formula of volume with respect to radius is $\sqrt[3]{3V/4π}$

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