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September 2, 2014

September 2, 2014

Posted by **Meranda** on Saturday, January 17, 2009 at 4:21pm.

If the vanilla cake has 140 calories per cubic inch, and the chocolate frosting has 320 calories per cubic inch, and the buttercream frosting has 470 calories per cubic inch, how many 800-calorie servings are in the cake? Please round down to the nearest serving.

- Math -
**bobpursley**, Saturday, January 17, 2009 at 4:36pmTotal calories=140*cake volume+320Frosting volume.

Frosting volume= volume middle+volume top+ volumesides.

= PI*9^2*1/4 + PI*9^2*3/8 + (3.5+1/4+3.5+3/8)(PI*18)

You find the volume of the cake, then proceed to find total calories, and divide that by 800.

- Math -
**Reiny**, Saturday, January 17, 2009 at 4:37pmvolume of vanilla cake = pi(9^2)(7)

that answer times 140 gives vanilla calories.

volume of chocolate frosting = pi(9^2)(.25)

that times 320 gives you chocolate calories.

frosting around the outside = pi(9.375^2)(7.25) - pi(9^2)(7.25)

= icing-1

for the top frosting

= pi(9.375^2)(.375)

= icing-2

calories for frosting = 470(icing-1 + icing-2)

add up all the calories.

you do the math!

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