Answer:
The correct answer is that the funnel has 5 inches of radius.
Explanation:
To calculate the volume of a cone, you need to multiply the base area, in this case the area of a circle: π * r², by its height and then by 1/3:
Volume of a cone = (1/3) * π * r² * h
Now, let's replace the values given in the question for finding out the value of the radius.
314 = (1/3) * 3,14 * r² * 12
314 = 4 * 3.14 * r² (after multiplying 12 x 1/3 on the right side)
100 = 4 * r² (after dividing by 3,14 at both sides of the equation)
25 = r² (after dividing by 4 at both sides of the equation)
5 = r (after calculating the √ of 25)
A cone shaped funnel with a volume of 314 inches of water, a height of 12 inches has a radius of 5 inches.