Respuesta :

Given:

Funnel is in the shape of a cone.

Radius = 4 inches

Height = 10 inches

To find:

a) The volume of the funnel

b) How many quarts of oil are in the funnel.

Solution:

Volume of cone:

[tex]$V=\frac{1}{3}\pi r^2 h[/tex]

[tex]$V=\frac{1}{3}\times 3.14 \times 4^2 \times 10[/tex]

[tex]$V=167.47[/tex] in³

The volume of the funnel is 167.47 in³.

1 qt ≈ 58 in³

To convert cubic inch to quarts divide by 58.

[tex]$167.47in^3=\frac{167.47}{58}[/tex]

               = 2.9 quarts

Therefore 2.9 quarts of oil are in the funnel.