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?
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Mathematics
Answer (1)
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! :)
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! :)