Question

A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the cheesecake is 8 inches, and the area of the slice of blueberry cheesecake is 30π/12 square inches.How many slices is the cake?

Answer 1

Answer:

The cake is 64 slices

Step-by-step explanation:

Area of the cheesecake is

`A=(30\pi)/(12)in^2`

Also, diameter = 8 inches. Radius = 8/2 = 4 inches.

`A=\pi r^2`

Therefore;

`4^2\pi=16\pi`

Finally, number of slices is:

`(16\pi)/((30\pi)/(12))=(16*12)/(30)=(192)/(30)=64`