Question

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

Answer 1

D. 10

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.