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Mathematics 24 Online
OpenStudy (hang254):

Answer Check: Nadine baked 2 cakes using a circular cake pan of diameter 12 inches. She plans to make a layered cake with one cake on top of the other with frosting only in between the cakes and on top of the second cake. Layla baked 4 cakes using a circular cake pan of diameter 10 inches. She plans to make a layered cake with each cake on top of the other and frosting only in between the cakes and on top of the fourth cake. The height of frosting in both their cakes is the same. Who requires more frosting?

OpenStudy (hang254):

MY ANSWER: Nadine. The area to be frosted on each of her cakes is more than the area to be frosted on each of Layla’s cakes.

OpenStudy (hang254):

Possible Answers: Layla. She has to frost an area that is 50.24 square inches greater than the area Nadine has to frost. Nadine. She has to frost an area of 904.32 square inches, and Layla has to frost an area of 314 square inches. Layla. She has to frost an area of 314 square inches, and Nadine has to frost an area of 226.08 square inches. Nadine. The area to be frosted on each of her cakes is more than the area to be frosted on each of Layla’s cakes.

OpenStudy (hang254):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

how could nadine need more frosting when she's only doing 2 cakes (instead of 4)? sure each cake nadine does it bigger, but that doesn't necessarily mean she needs more frosting

OpenStudy (hang254):

That leads me to option number one, because the others are too much square inches, for each cake.

jimthompson5910 (jim_thompson5910):

they want totals, not amounts per cake

OpenStudy (hang254):

How do you figure?

jimthompson5910 (jim_thompson5910):

it asks "Who requires more frosting?"

jimthompson5910 (jim_thompson5910):

which means they want to know who uses more frosting total

OpenStudy (hang254):

Alright, i see what you are saying

OpenStudy (hang254):

Layla has to frost an area that is 314 sq in. Nadine certainly does not have to frost an area of 904.32 sq in. Since Lalya nearly has to frost double the amount of Nadine.

jimthompson5910 (jim_thompson5910):

how are you getting 904.32

OpenStudy (hang254):

i only calculated Layla's total area. I used 904.32 from the answer choice that recognizes Layla to use the largest quantity of icing.

jimthompson5910 (jim_thompson5910):

oh gotcha, so which answer choice are you leaning towards

OpenStudy (hang254):

The 3rd option

jimthompson5910 (jim_thompson5910):

yes that's what I'm getting as well

jimthompson5910 (jim_thompson5910):

since nadine has a frost 2*3.14*6^2 = 226.08 sq in of cake

OpenStudy (hang254):

Perfect, then we are on the same page. Thanks

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