Answer:
There are total 5 layers.
Step-by-step explanation:
A multi-layer cake is in the shape of a right cylinder.
Height of the cake is = 20 cm
Radius is = 10 cm
Each of the cake layers has a volume of approximately 1,250 cm³.
Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.
Volume of the cylinder is given as:
[tex]V=\pi r^{2} h[/tex]
[tex]1250=3.14\times(10)^{2}\times h[/tex]
[tex]1250=314 h[/tex]
[tex]h=\frac{1250}{314}[/tex]
h = 3.98 or approximately height of 1 layer is 4 cm.
As the cake's height is 20 cm so, there are [tex]\frac{20}{4}=5[/tex] layers in the cake.
Answer: There are 5 layers in the cake.
