What are the solutions to the equation 4/3 pir^3=4pir^2 ?

The solutions to the equation 4/3 pir^3=4pir^2 are r=0,r=3

Find the zeros of 4/3 pir^3=4pir^2

The zeros of 4/3 pir^3=4pir^2 are r=0,r=3

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\frac{4}{3} π r^{3} = 4 π r^{2}

r = 0, r = 3

Solution steps

\frac{4}{3} π r^{3} = 4 π r^{2}

Move

4 π r^{2}

to the left side

\frac{4 π}{3} r^{3} - 4 π r^{2} = 0

Factor

\frac{4 π}{3} r^{3} - 4 π r^{2} : r^{2} (\frac{4 π r}{3} - 4 π)

r^{2} (\frac{4 π r}{3} - 4 π) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r = 0 or \frac{4 π r}{3} - 4 π = 0

Solve

\frac{4 π r}{3} - 4 π = 0 : r = 3

The solutions are

r = 0, r = 3

2 x^{3} - 26 x^{2} + 84 x = 0

n c^{3} - n c^{4} = n c^{1}

4 m^{3} - 40 m^{2} + 36 m = 0

5 x^{3} - x + 5 = 0

x^{3} - 14 x^{2} + 49 x - 36 = 0

What are the solutions to the equation 4/3 pir^3=4pir^2 ?
The solutions to the equation 4/3 pir^3=4pir^2 are r=0,r=3
Find the zeros of 4/3 pir^3=4pir^2
The zeros of 4/3 pir^3=4pir^2 are r=0,r=3