miagabriella61 miagabriella61

01-01-2024
Mathematics

contestada

5 Using the formula for the volume of a cone, express
r in terms of V, h, and .

Respuesta :

amelieoconnor amelieoconnor

01-01-2024

Answer:

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

Step-by-step explanation:

[tex]V = 1/3\pi r^{2} h[/tex]
[tex]3V = \pi r^{2}h[/tex] (multiply across by 3)
[tex]3V/\pi h = r^{2}[/tex] (rearrange to isolate r^2)
[tex]r = \sqrt{3V/\pi h}[/tex] (get it to be r)

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