Question

In: Math

The first cake has three layers with each one having a different top view: the bottom...

The first cake has three layers with each one having a different top view: the bottom is a square, the middle is a hexagon, and the top is a circle. The height of each layer may vary. The second cake has three layers with a top view of concentric circles. All three layers have the same height. The diameter of the middle layer is 20% larger than the top layer, and the diameter of the bottom layer is 25% larger than the middle layer.

Your data given is:

length of the side of cake1 square layer = 20

height of cake1 square layer = 1

length of the side of cake1 hexagon layer = 9

height of cake1 hexagon layer = 10

  diameter of cake1 circular layer =5

height of cake1 circular layer = 7

diameter of cake2 bottom layer = 68

The ratio of the volume of each layer to the volume of cake1 is 0.1514(square), 0.7966(hexagon), 0.052(cylinder)

Find:

1) The height of cake2

2) The total surface area of cake2

3) The volume of cake2

Answers should be: (I just don't know how toget there)

Second cake:
* total height: 1.047
* surface area: 3815.5796
* volume: 2641.8863

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