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The small cylinder can fill the big cylinder to a height of 5 cm.
Work out the radius of the big cylinder.
The small cylinder has a diameter of 6, and a height of 12

Respuesta :

Answer:

[tex]\pi \times {r}^{2} \times 5 = \pi \times {3}^{2} \times 12 [/tex]

[tex]5 {r}^{2} = 108[/tex]

[tex] {r}^{2} = \frac{108}{5} [/tex]

[tex]r = \frac{6 \sqrt{3} }{ \sqrt{5} } = \frac{6 \sqrt{15} }{5 } \: cm[/tex]