Question

Danny Henry made a waffle on his six-inch-diameter circular griddle using batter containing a half a cup of flour. Using the same batter, and knowing that all waffles have the same thickness, how many cups of flour would Paul Bunyan need for his 24-foot-diameter circular griddle

Answer 1

1152

Explanation:

i may be doing this wrong, but the area of first is 6/2->3 3^2->9 9pi

second is, convert feet to inches(288)

144^2=20736

20736/9=2304

2304 times 1/2=1152

Answer 2

He'll need 288 cups to make a waffle on his 24 foot diameter circular griddle.

Explanation:

In order to find out how much batter Danny needs we first need to compute the area of the first pans, since it is a circular pan their area is given by A = 2*pi*r. So we have:

Area of the first pan = 2*pi*(6/2) = 18.84 square inches

Area of the second pan = 2*pi*(24/2) = 75.36 square foots

We now need to convert these values to be in the same unit, we'll convert from square foots to square inches:

Area of the second pan = 75.36 * (12)^2 = 10851.84 square inches

We can now use a proportion knowing that the batter and the thickness of the waffles are the same. If 0.5 cup of flour can make a waffle on 18.84 square inches then x cup of flour can make a waffle on 10851.85 square inches. Writing this in a mathematical form, we have:

0.5/x = 18.84/10851.84

18.84x = 0.5*10851.85

x = 10851.85*0.5/18.84 =288 cups