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Lana71 [14]
3 years ago
9

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 ea

ch of the cake layers has a volume of approximately 1,250 cm3, then how many layers does the cake have?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

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:

V=\pi r^{2} h

1250=3.14\times(10)^{2}\times h

1250=314 h

h=\frac{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 \frac{20}{4}=5 layers in the cake.

Answer: There are 5 layers in the cake.

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