Question

A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If each of the cake layers has a volume of approximately 1,250 cm3, then how many layers does the cake have?

Answer 1

If each of the cake layers had a volume of about
`1,250cm^3` then there would be 5 cake layers.

Hope this helps confirm things. For further explanation on why this is correct, read the given explanation above provided by the user chis.

• Good luck! ;D

Answer 2

There are total 5 layers.

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:

`V=\pi r^(2) h`

`1250=3.14*(10)^(2)* h`

`1250=314 h`

`h=(1250)/(314)`

h = 3.98 or approximately height of 1 layer is 4 cm.

As the cake's height is 20 cm so, there are
`(20)/(4)=5` layers in the cake.

Answer: There are 5 layers in the cake.