edigsmith
edigsmith edigsmith
  • 11-11-2019
  • Mathematics
contestada

The formula for the volume of a sphere is V=4/3pir^3. What is the formula solved for r

Respuesta :

CPED
CPED CPED
  • 11-11-2019

Answer:

r = [tex](3V/4pi)^(1/3)[/tex]

Step-by-step explanation:

Given that:

V = 4/3 pi r^3

We have to solve for r So,

Multiplying both sides by 3/4 we get:

3/4 V = 4/3 * 3/4 pi r^3

3/4 V = pi r^3

Dividing both sides by pi we get

3/4 * V/pi = r^3

Now taking under root 3 on both sides we will get value of r as:

r = [tex](3V/4pi)^(1/3)[/tex]

I hope it will help you!

Answer Link
devishri1977
devishri1977 devishri1977
  • 11-11-2019

Answer:

Step-by-step explanation:

V = 4/3πr³

4/3πr³ = V

4πr³ = V * 3

r³    = 3V / 4π

r =∛3V / 4π

Answer Link

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