If the smaller cylinder has a lateral area of approximately 126 square meters, what is the approximate lateral area of the larger cylinder?

315.0 square meters

50.4 square meters

787.5 square meters

1,968.8 square meters

Question

If the smaller cylinder has a lateral area of approximately 126 square meters, what is the approximate lateral area of the larger cylinder? 

 315.0 square meters 

 50.4 square meters 

 787.5 square meters 

 1,968.8 square meters

anonymous · Answer

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jewlzme17 · Answer

If two cylinders are similar, then the square of their scale factor = the ratio of their lateral areas.

8/20 = 2/5 is the scale factor

(2/5) ^2 = 126/x  where x is the lateral area of the larger cylinder.

4/25 = 126 /x

4x = 25*126

x= 1575/2

x = 787.5 square meters

anonymous · Answer

thank you i dont have a teacher to show me how to do this i have to teach myself or find help im homeschooled

jewlzme17 · Answer

Oh okay well im Glad to help you