The volume of a cylinder is represented by v = Tr²h. Find the volume of a cylinder that has a radius of 2x + 4 and a height of -3x.

Respuesta :

[tex]\Large\underline{\rm Solution :- }[/tex]

According to the Question ,

[tex]\implies Volume = \pi r^2 h [/tex]

And ,

  • Radius =[tex] 2x + 4 [/tex]
  • Height =[tex] -3x [/tex]

Therefore ,

[tex]\implies Volume = \pi r^2h \\\\\implies Volume = \pi \times (2x + 4)^2 \times (-3x ) \\\\\implies Volume = \pi ( 4x^2 + 16x + 16 ) (-3x) \\\\\implies \underline{\boxed{Volume = \pi ( -12x^3 - 48x - 48 ) }}[/tex]

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