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he fruitcake shown in the photo is to be divided equally among 100 people at a wedding reception. Determine the volume of cake (in cubic centimetres) each guest will receive.

Question

he fruitcake shown in the photo is to be divided equally among 100 people at a wedding reception. Determine the volume of cake (in cubic centimetres) each guest will receive.

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Solution

To answer this question, we need to follow these steps:

  1. Identify the shape of the fruitcake. If it's a common shape like a cylinder (which is common for cakes), we can use the formula for the volume of a cylinder, which is V = πr²h, where r is the radius and h is the height. If it's not a common shape, we may need to approximate or use calculus.

  2. Measure the dimensions of the cake. If it's a cylinder, we need to measure the radius (or diameter and then divide by 2) and the height. Make sure these measurements are in centimetres since we want the volume in cubic centimetres.

  3. Plug the measurements into the volume formula and calculate the total volume of the cake.

  4. Divide the total volume by the number of people, which is 100. This will give us the volume of cake each person will receive.

Please note that without the actual measurements or a photo of the cake, I can't provide a numerical answer.

This problem has been solved

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