More Similarity Practice

Here's more practice on similarity -- most about 3-dimensional solids.

Make diagrams for the questions without any.

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1) A company makes 2 similar cylindrical vases.
The smaller one has a diameter of 10 cm. and a height of 20 cm.
The total area of the larger vase is 4 times that of the smaller.
Find the dimensions and volume of the larger vase.

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2) Two right prisms with rectangular bases are similar.
The base area of the smaller is 3.14 cm² and its height is 1.5 cm.
The base area of the larger is 78.5 cm².
What is the volume of the larger prism rounded to the nearest unit?

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5) Two cylindrical food cans are similar.
The diameter of the smaller can equals the radius of the larger can.
How many of the smaller cans could we fill with the full contents of the larger one?

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Solutions

1) h = 40 cm, r = 10 cm and volume = 12566 cm³.

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so, EF = 2, FG = 6, EI = 3, IH = 9

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5) We could fill 8 small cans with the contents of the larger one.

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6) The volume of each small piece of metal will be 1/64th the volume of the mother piece.
The volume will be 75 cm³.

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