Question

Part c

Answer 1

The probability that the first slice of the cake will have the marble exists

7/66.

How to determine the probability using parts A and B?

Part A of the question demands that the volume of the cake be

estimated.

The volume of the cake exists, $V=\pi(\frac{d}{2} )^{2} h$

$&V=\pi(\frac{9}{2} )^{2} * 4$

$V=81 \pi$

The part B of the question requires that the volume of each cut be

computed

The volume of each cut exists, V = 27

To estimate the required probability

We simply divide the volume of each cut by the volume of the cake.

$P=\frac{27}{81 \pi}$

$P=\frac{1}{3 \pi}$

Expand $\pi$

$&P=\frac{7}{3 * 22}$

$&P=\frac{7}{66}$

Therefore, the probability that the first slice of the cake will contain the

marble exists at 7/66.

To learn more about probability refer to:

brainly.com/question/24756209

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