Respuesta :

The height of the oblique cylinder is 7.5 m.

Volume of Cylinder

The volume of a cylinder is calculated from the formula below:

[tex]V_{cylinder}= Area \;of\;base * h=\pi r^2h[/tex] , where:

Area of base = area of circle = [tex]\pi[/tex]r²

h= height

The question gives:

Volume= 90[tex]\pi[/tex] m³

Area of base = 12[tex]\pi[/tex]m²

Then,

[tex]V_{cylinder}= \pi r^2 h\\ \\ 90\pi =12\pi h\\ \\ h=\frac{90\pi }{12\pi } \\ \\ h=7.5 m[/tex]

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