Homework Help: Math

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

A large birthday cake was baked to celebrate the 6th birthday of Mimi. It was a round cake, made of two layers of vanilla cake; each layer was 18 inches in diameter and 3.5 inches tall. Between the two layers was a quarter inch of chocolate frosting. And covering the top and side of the cake was 3/8" of buttercream frosting.

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 4:36pm
Total 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 4:37pm
volume 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!

Answer this Question

Related Questions

liberal arts - mary and tom jointly buy the vanilla-chocolate cake for $20. ...
Chemistry - I need another hypothesis: Mom and I were baking a cake for my ...
math - sam's birthday cake was cut into 16pcs. after his party, 3 pcs. were ...
math - If you eat 1/3 of the birthday cake and your friend eats 1/4 of the same...
English - could you please check these sentences? Thank you. 1) Today we ...
math-correction - Petrus shared his birthday cake with 5 of his friends.He gave ...
math - Petrus shared his birthday cake with 5 of his friends. He gave Sandy 1/8,...
Chemistry - a girl is celebrating her 7th birthday. each guest is served one ...
Chemistry - A girl is celebrating her seventh birthday. Each guest is served one...
chemistry - A girl is celebrating her seventh birthday. Each guest is served one...

For Further Reading

First Name:
School Subject:
Answer: