Question

Taylor has a punch bowl shaped like a cylinder, with a diameter of 22 inches and a height of 20 inches, she pours 8.25 gallons of punch into the bowl.

(note 1 gallon = 231 cubic inches)

How far from the top of the punch bowl is the top of the punch?

Answer 1

1 gal =231 cu/in

r^2pi*ht=area

36pi*7= 791.68cu/in

231*3.25=750cu/in

41.68/(r^2pi)

=41.65/113.1=.368"

Explanation:

Note that 1 gallon = 231 cubic inches.

Volume of liquid = 231 cubic inches = PI*R^2*H (equation for volume of a cylinder)

We have a radius (half diameter), so we can figure out the height of the liquid.

To figure how far below the top the liquid is, we subtract the height of the liquid from the height of the punch bowl (7 inches).