Does the formula V = 4/3 pi r^3 represent a linear or nonlinear function? Explain.

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Kaeden

Mathematics

7 April, 22:10

Does the formula V = 4/3 pi r^3 represent a linear or nonlinear function? Explain.

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Powers · Answer 1

This is the volume of the sphere & is not at all a linear function.

A linear function of the form of y=kx (k is a given number/coefficient) where

y & x grow at the same rate. Then whatever the input (x) it will generate an output (y) always in the ration y/x, whereas v=4/3 πr³ (coefficient = k = 4/3 (π), if r increase by 2 units v will increase by 2³ = 8 & for r = 3, v increase by 3³ = 27.

In short v increases quicker than r. No it's not a linear function