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19-11-2020
Mathematics

contestada

The formula for the volume
of a cone is V= 1/3 pi r^2h. Write the formula expressed as the radius, r.

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19-11-2020

Answer:

[tex]\sqrt{ \frac{{3V\pi } }{h}[/tex] = r

Step-by-step explanation:

V = 1/3 pi r^(2) *h

Rewrite:

V = pi * r^(2) * h/3

Inverse operations:

V / h / 3 = pi * r^2

Simplify:

3V/h = pi * r^2

Inverse operations:

3V/h / pi = r^2

Simplify:

3Vpi/ h = r^2

Inverse operations:

sqrt( 3Vpi/h) = r

[tex]\sqrt{ \frac{{3V\pi } }{h}[/tex] = r

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