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## Help on homework!

A bakery sells single layer mini-cakes that are 3 inches in diameter for \$4 each. They also have a 9-inch cake for \$15. If both cakes are the same thickness, which option gives you more cake for the money, nine mini-cakes or one 9-inch cake?

Both cakes having the same thickness means both radius are the same.
-Solve for radius using diameter equation
-Use radius to find Circumference of each size cake
-Able to determine which cake size (mini-cakes, or bigger one) has larger circumference =the cake that gives you more value for the money

Mini-Cakes:

3 inches=2r
r=3/2 inch
2. Circumference= (pi)(diameter)
=3.14(3inches)
=9.42 inches
3.  9.42 inches per 1 mini-cake
4. \$4/cake(9 cakes)= \$36

Option 1: You would get 84.78 inches of cake if you purchased 9 mini-cakes at \$36

Big Cake:

1. r=3/2 inches
2.  Circumference
=3.14(9 inches)
=28.26 inches
Option2: You would get 28.26 inches of cake if purchased 1 9-inch cake at \$15

The cakes are cylindrical.
Find the volume of each cake.
V=pi*r2*h
V=3.14*(1.5)2*h
V=3.14*2.25*h
V=7.065h cubic units

V=pi*r2*h
V=3.14*(4.5)2*h
V=3.14*20.25*h
V=63.585h cubic units
9 mini cakes costs \$36 and you get 9*7.065h=63.585h cubic units of cake
1 large cake costs \$15 and you get 63.585h cubic units of cake, the same amount !!!
the best buy is the 9-inch cake for only \$15