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Are the two cylinders similar? The diagrams are not drawn to scale.

a) no
b) yes
c) impossible to tell


for search: 8.32 10.192 2.6 3.64

thank you!

Are the two cylinders similar The diagrams are not drawn to scalea nob yesc impossible to tellfor search 832 10192 26 364thank you class=

Respuesta :

opudodennis

Answer:

a) no

Step-by-step explanation:

-The diagrams can be said to be mathematically similar if the dimensions of their corresponding sides enlarge or reduce by the same factor.

-We therefore determine the enlargement factor for both the radius and height as below:

-Let k be the scale factor

[tex]k_r=\frac{R}{r}\\\\=\frac{3.64}{2.6}\\\\=1.4\\\\k_h=\frac{H}{h}\\\\=\frac{10.192}{8.32}\\\\=1.225\\\\k_r\neq k_h[/tex]

Hence, the cylinders are not mathematically similar since the enlargment factors for the radius and height are not equal.

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