The Help Zone is under renovation.

See if your question has already been asked!

Mathematics

Secondary 3 • June 7, 2025

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?

Answer (1)

Student Answer

June 8, 2025

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

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! :)