A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill the funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13 inches?

A. 3

B. 4

C. 9

D. 10

D. 10

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

V = πr²h

V = π (4 in) ² (13 in) = 208π in³

The volume of a cone 3 inches in radius and 7 inches high is ...

V = (1/3) πr²h = (1/3) (3 in) ² (7 in) = 21π in³

Then the ratio of the volume of the cylinder to that of the cone is ...

(208π in³) / (21π in³) ≈ 9.905

You would need to fill the funnel about 10 times to fill the can.