Respuesta :

penfila11Pen
Lets get this :)

Volume(big cylinder) = [tex] \pi r^2h[/tex]
2187 = [tex] \pi r^2(3)[/tex]
[tex] \frac{2187}{3} = \pi r^2 [/tex]
729 = [tex] \pi r^2[/tex]
[tex] \frac{729}{ \pi } = r^2[/tex]
r = [tex] \sqrt{ \frac{729}{ \pi } } [/tex]
r ≈ 15.2 cm (radius of big cylinder)

The ratio of big cylinder to small one is:
 3 : 1

Therefore, the big cylinder is 3 times bigger than the small cylinder

[tex] \frac{15.2}{3} [/tex] = r
r = 5.1 cm (radius of small cylinder)

V(small cylinder) = [tex] \pi (5.1)^2(1)[/tex]
                            = 81 cm³

Your answer is C. 81 cm³

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