Respuesta :

Blitztiger
If these two cans have geometrically similar (their measurements are proportional), then we can take the ratio of the radius and height:
small can height / large can height = small can radius / large can radius
2.5 / 4 = x / 2.4
x = 1.5 inches
Therefore the radius of the small can is 1.5 inches.
[tex] \dfrac{\text{large can height}}{\text{small can height}} = \dfrac{\text{large can radius}}{\text{small can radius}} [/tex]

Substitute the known values into the variables:

[tex] \dfrac{4}{2.5} = \dfrac{2.4}{\text{small can radius}} [/tex]

[tex]\text{small can radius} = \dfrac{2.4 \times 2.5}{4} [/tex]

[tex]\text{small can radius} = 1.5 \text{ inches}[/tex]

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