Mia baked a very large apple pie that she cuts into slices to share with her friends

Other · Multi-part · ISC · Mathematics · Algebra · Geometric progressions

Problem

Mia baked a very large apple pie that she cuts into slices to share with her friends. The smallest slice is cut first. The volume of each successive slice of pie forms a geometric sequence. The second smallest slice has a volume of 30 cm330\text{ cm}^3. The fifth smallest slice has a volume of 240 cm3240\text{ cm}^3. (1) Find the common ratio of the sequence. (2) Find the volume of the smallest slice of pie. (3) The apple pie has a volume of 61 425 cm361\,425\text{ cm}^3. Find the total number of slices Mia can cut from this pie.

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