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Karo-lina-s [1.5K]
4 years ago
8

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

Mathematics
2 answers:
tigry1 [53]4 years ago
5 0

Answer:

r = (3V/4pi)^(1/3)

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 = (3V/4pi)^(1/3)

I hope it will help you!

harkovskaia [24]4 years ago
4 0

Answer:

Step-by-step explanation:

V = 4/3πr³

4/3πr³ = V

4πr³ = V * 3

r³    = 3V / 4π

r =∛3V / 4π

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