PLEASE HELP WILL MAKE BRAINLIEST! The following cone has a height of 4 inches and a volume of 12π. What is the radius of the cone? Enter your answer as the correct value, rounded to the nearest tenth if necessary.​

R= 1.69

Step-by-step explanation:

For this, you just have to remember that the volume of a cone is 1/3hπr² (1/3 times pi times the radius squared). Our volume is 12π, so we plug in 12π into our formula, as well as our height of 4 inches, to solve for the radius, like so:

12π=(1/3)(4)πr²

Now we just do the rest of the math.

12π=(1/3)(4)πr²

12=(1/3)(4)r² (divide both sides by π)

3=1/3r² (divide both sides by 4)

9=r² (divide both sides by 1/3)

3=r (take the square root of both sides).

Therefore, the radius of the cone is 3.

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