Respuesta :

Answer:

r = 3

Step-by-step explanation:

The formula of a volume of a cone

V= 1/3 pie r^2 H

r - radius

H - height

We have V = 12π in³ and H = 4 in. Substitute:

Ver imagen hooman5

The radius of the cone is 3 inches

Volume of a cone

  • v = 1 / 3 πr²h

where

h = height

r = radius

Therefore,

v = 12π

h = 4

12π = 1 / 3 × π × r² × 4

12 = 4  /3  r²

36 = 4r²

r² = 36 / 4

r = √9

r = 3 inches

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