Respuesta :

V  =  (1/3)·π·r²·h                     First, multiply both sides by 3:

3V  =  π·r²·h                            Now, divide by π·h 

3V / (π·h)  =  r²                       Finally, take the square root of both sides:

±√[ 3V / (π·h) ]  =  r²              If you are in algebra, you need the ±; if you are in geometry, you probably                                                      don't (usaully, you don't have negative radii).

Lanuel

Based on the calculations, the radius (r) of this cone may be expressed as r = √(3V/πh).

How to calculate the volume of a cone?

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × r²h

Where:

  • h is the height.
  • r is the radius.

Making r the subject of formula, we have:

r = √(3V/πh)

Read more on radius here: brainly.com/question/21367171

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