Question

a cone-shaped funnel has a diameter of 3.6 inches and a height of 3 is the volume of the funnel?use 3.14 for your answer, as a decimal, in the box. in3

Answer 1

Answer:

V ≈ 10.18 in^3

Explanation:

The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.

Since the diameter of the base is 3.6 inches, the radius is half of that, or 1.8 inches.

So, r = 1.8 inches and h = 3 inches.

Substituting these values into the formula, we get:

V = (1/3)πr^2h
V = (1/3)π(1.8)^2(3)
V = (1/3)π(3.24)(3)
V = (1/3)π(9.72)
V = 3.24π

Using 3.14 for π and rounding to two decimal places, we get:

V ≈ 10.18 in^3

Therefore, the volume of the funnel is approximately 10.18 cubic inches.