Cindy is baking a 2-layer cake. The top layer has a diameter of 8 inches and the bottom layer has a diameter of 10 inches. What

Question

2 years ago

15

is the difference in area between the top surfaces of the two cakes? Use 3. 14 for π

1 answer:

Alenkinab [10] · Answer 1 · 2022-10-20T21:11:32+03:00

The difference in area between the top surfaces of the two cakes is 28.26 inches²

<h3>Area of a circle</h3>

where

r = radius

Therefore,

area of top layer = πr²

d = 2r

r = d / 2

r = 8 / 2

r = 4 inches

area of top layer = 3.14 × 4²

area of top layer = 3.14 × 16

area of top layer = 50.24 inches²

area of the bottom layer = πr²

r = 10 / 2 = 5 inches

area of the bottom layer = 3.14 × 5²

area of the bottom layer = 3.14 ×25

area of the bottom layer = 78.5 inches²

Difference in area between the top surfaces of the two cakes can be found as follows: