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PhilosophicalGarnet9810

Two cylinders are similar. The height of cylinder A is 20cm. The total surface area of cylinder B is 4 times that of cylinder A. What is the total capacity of the cylinders in litres?

Katia K

Salut!

We know that the total surface area of cylinder B is 4 times that of cylinder A.

Knowing this, you can conclude that the area ratio k² is 4, where A is the initial shape and B is the image shape.

k² = Area B / Area A

4 = Area B / Area A

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So you can find the similarity ratio k from the area ratio k². Then, you know that the height of cylinder A is 20 cm. Therefore, you can calculate the height of cylinder B, since you know the similarity ratio.

Here are some pages that might help you:

• The Similarity Ratio for Lengths, Areas, and Volume (k, k², k³) | Secondaire | Alloprof
• The Area and the Volume of Solids | Secondaire | Alloprof
• Units of Capacity and Their Conversion | Secondaire | Alloprof

I'll let you continue with these clues. If you have any other questions, we're here! :)