Respuesta :

gmany

Answer:

r = 3 in

Step-by-step explanation:

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

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

[tex]12\pi=\dfrac{1}{3}\pi(r^2)(4)\qquad\text{multiply both sides by 3}\\\\36\pi=4\pi r^2\qquad\text{divide both sides by}\ 4\pi\\\\9=r^2\to r=\sqrt9\to r=3[/tex]

Answer:

The radius of cone is 3 inches.

Step-by-step explanation:

Given,

Volume of cone = 12π cubic inches

Height of cone = 4 inches

Let,

r be the radius of cone.

Volume of cone =

 Multiplying both sides by 3

Dividing both sides by 4π

Taking square root on both sides

The radius of cone is 3 inches.

Keywords: volume, radius