Respuesta :

Answer:

volume of the oblique figure is [tex]64\pi[/tex]

Step-by-step explanation:

Given:

Height of the oblique cone=  12

radius of the oblique cone =4

To find:

Volume of the Oblique cone= ?

Solution:

Oblique cone:

An oblique cone is a cone with an apex that is not aligned above the centre of the base. It "leans" to one side, similarly to the oblique cylinder. The cone volume formula of the oblique cone is the same as for the right one.

Volume of the oblique cone =[tex]\frac{1}{3} \times\pi \times r^2 \times h[/tex]

Substituting the given values,

Volume of the oblique cone =[tex]\frac{1}{3}\times\pi\times(4)^2\times 12[/tex]

Volume of the oblique cone =[tex]\frac{1}{3}\times\pi\times\ 16\times\ 12[/tex]

Volume of the oblique cone =[tex]\frac{1}{3}\times\pi\times 192[/tex]

Volume of the oblique cone = [tex]\frac{192}{3}\times\pi[/tex]

Volume of the oblique cone =[tex]64\pi[/tex]

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