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

[Gringo123]

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.

 

[Mark44]

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.

 

[Gringo123]

Thank you once again Mark!