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

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

Find the zeros of 2pir^3=pir^2h

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

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2 π r^{3} = π r^{2} h

r = 0, r = \frac{h}{2}

Solution steps

2 π r^{3} = π r^{2} h

Move

π r^{2} h

to the left side

2 π r^{3} - π r^{2} h = 0

Factor

2 π r^{3} - π r^{2} h : π r^{2} (2 r - h)

π r^{2} (2 r - h) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r = 0 or 2 r - h = 0

Solve

2 r - h = 0 : r = \frac{h}{2}

The solutions are

r = 0, r = \frac{h}{2}

1 - x^{3} = 9

4 x^{4} - 3 x^{2} - 1 = 0

x, x^{4} - 7 x^{2} + 6 = 0

5^{3} = (x + 2)^{3}

j^{3} = 0.125

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