Question

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.

Answer 1

`\Large\underline{\rm Solution :- }`

According to the Question ,

`\implies Volume = \pi r^2 h`

And ,

• Radius =
  `2x + 4`
• Height =
  `-3x`

Therefore ,

`\implies Volume = \pi r^2h \\\\\implies Volume = \pi * (2x + 4)^2 * (-3x ) \\\\\implies Volume = \pi ( 4x^2 + 16x + 16 ) (-3x) \\\\\implies \underline{\boxed{Volume = \pi ( -12x^3 - 48x - 48 ) }}`