Question

Nate baked 3 cakes using a circular cake pan of diameter 8 inches. He 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 third cake. Katrina made 5 cakes using a circular cake pan of diameter 6 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 fifth cake. The height of frosting in both their cakes is the same.

Who requires more frosting?

Answer 1

yeah!!!!!!!!!!!!!!!!!!

Answer 2

can you guys help me with this problem?

Answer 3

nate baked 3 cakes with 8 diameter. he put frostings in between the cakes and on top of the third cake, so he did 3 frostings all in all. to find how much frosting he used, find the circumference of a 8-diameter cake. circumference is 8pi. then he used it 3 times so he used 24 pi all in all. got that part?

Answer 4

yep

Answer 5

and katrina only did 2 frostings, correct?

Answer 6

and the diameter is 6

Answer 7

then katrina made 5 cakes with 6 diameter. she put frosting in between the cakes and on top of the 5th cake so she put 5 frostings

Answer 8

ahhh

Answer 9

k

Answer 10

because it's in between the cakes then on top of the fifth

Answer 11

so find the circumference of a circle with 6 diameter

Answer 12

so would katrina need more?

Answer 13

or Nate?

Answer 14

find the circumference of a circle with 6 diameter first. cirmuference = pi * diameter

Answer 15

6 pie is 18.85 approximately

Answer 16

8 pie is approximately 25.13

Answer 17

now multiply 6*pi by 5 because there are 5 frostings

Answer 18

that is approximately 94.245

Answer 19

now multiply 8*pi by 3 because there were 3 frostings for that one

Answer 20

and the other one is approximately 75.4, right?

Answer 21

so which is greater?

Answer 22

well, they are really looking for area

Answer 23

although katrina's circumference is bigger

Answer 24

so the area of Nate's cake is approx. 150.8

Answer 25

area? it's asking who used more frosting

Answer 26

and the area of Katrina's cake is approx. 141.37

Answer 27

Nate. He has to frost an area that is 9.42 square inches greater than the area Katrina has to frost.

Answer 28

thats the answer

Answer 29

isnt the frosting around the cake?

Answer 30

thats the correct answer on the review

Answer 31

they are trying to forst an area

Answer 32

frost

Answer 33

so I guess they are putting frosting inside the cake?

Answer 34

they are putting frosting across the cake

Answer 35

I think they want to find the area that the frosting can frost

Answer 36

and we have arrived to it

Answer 37

some of the answers are wierd, I know

Answer 38

but anyways

Answer 39

so do you know it already?

Answer 40

yep

Answer 41

ty so much

Answer 42

you're welcome :)