What is the height of the smaller cylinder in this scale factor?

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SUMMARY

The discussion centers on calculating the height of a smaller cylinder based on the area of its ends and the height of a larger similar cylinder. Given that the areas of the ends of the smaller and larger cylinders are 16 cm² and 100 cm² respectively, the scale factor for area is 16:100, which simplifies to 4:10 for linear dimensions. Using this scale factor, the height of the smaller cylinder is calculated as 5 cm, derived from the formula: height of smaller cylinder = (12.5 cm * 2) / 5.

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Gringo123
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Can someone please tell me if I have done this correctly?

"2 cylinders are similar. The area of the ends of the smaller and larger cylinders are 16cm2 and 100cm2 respectively. The height of the larger cylinder is 12.5cm. Calculate the height of the smaller cylinder."

Firstly, if the scale factor for area is 16:100, am I right in saying that the scale factor to be used when calculating lenthgs would be 4:10?

proceding on that basis, the height of the smaller cylinder = 12.5 x 2 / 5 = 5cm.
 
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Gringo123 said:
Can someone please tell me if I have done this correctly?

"2 cylinders are similar. The area of the ends of the smaller and larger cylinders are 16cm2 and 100cm2 respectively. The height of the larger cylinder is 12.5cm. Calculate the height of the smaller cylinder."

Firstly, if the scale factor for area is 16:100, am I right in saying that the scale factor to be used when calculating lenthgs would be 4:10?

proceding on that basis, the height of the smaller cylinder = 12.5 x 2 / 5 = 5cm.
Looks good to me.
 
Thank you once again Mark!
 

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