Taylor has a punch bowl shaped like a cylinder, with a diameter of 12 inches and a height of 7 inches. She pours 3.25 gallons of punch into the bowl.

Question

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"

Answer 2

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 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).