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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?

Respuesta :

Answer:

The cake is 64 slices

Explanation:

Area of the cheesecake is

[tex]A=\frac{30\pi}{12}in^2[/tex]

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

[tex]A=\pi r^2[/tex]

Therefore;

[tex]4^2\pi=16\pi[/tex]

Finally, number of slices is:

[tex]\frac{16\pi}{\frac{30\pi}{12}}=\frac{16\times12}{30}=\frac{192}{30}=64[/tex]

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