Respuesta :

SaniShahbaz

Answer:

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

Step-by-step explanation:

From the formula of volume of a sphere we have to isolate "r" on one side of the equation i.e. we have to make "r" the subject of the equation.

[tex]V=\frac{4}{3} \pi r^{3}\\\\ \text{Multiplying both sides by 3/4 we get}\\\\\frac{3V}{4} = \pi r^{3}\\\\ \text{Dividing both sides by } \pi \\\\ \frac{3V}{4 \pi} = r^{3}\\\\\text{Takeing cube root of both sides}\\\\\sqrt[3]{\frac{3V}{4 \pi}} = r[/tex]

Therefore:

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

imlittlestar

Answer:

The formula for radius of sphere is r = ∛(3V/4π)

or

r = (3V/4π)¹/³

Step-by-step explanation:

It is given formula for volume of sphere.

Volume of sphere = 4/3 πr³

Where r is the radius of sphere

To find the radius r of sphere

Volume V =  4/3 πr³

r³ = 3V/4π

r = ∛(3V/4π)

Therefore formula for radius of sphere is r = ∛(3V/4π)

or

r = (3V/4π)¹/³

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