Question

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?

Answer 1

What is the area of each cake pan?

Answer 2

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.

Answer 3

Those are the answer choices @shandelman

Answer 4

Okay...I'm not going to give you the answer, but I'll help you get there. How do you find the area of the cake pans? What is the formula?

Answer 5

I never said I just wanted the answer? But you'd find the area by multiplying 3.14 to 12... for the first 2 cake pans... right?

Answer 6

@shandelman

Answer 7

Not quite. What is the general formula for the area of a circle?

Answer 8

Pie x r^2

Answer 9

Right. And what's the radius of the first cake pan?

Answer 10

6

Answer 11

Good. So what is the area of the first cake pan (note: squaring something is not the same as doubling something, which is what you did earlier)?

Answer 12

I see what i did wrong.. So it would be 3.14 x 6^2 = 113.04

Answer 13

Nice. So you have 2 of those pans. Now you can figure out the area of the *other* pan, take into account you have 4 of them, and then compare the numbers.