What is the volume of a cylinder with a height of 4xy^4 and a radius of 2x? (The formula fo
the volume of a cylinder is V = pie r^2 h.)

Respuesta :

Answer:

volume: [tex]\sf 16\pi x^3y^4[/tex]

given:

  • height: [tex]\sf 4xy^4[/tex]
  • radius: [tex]\sf 2x[/tex]

cylinder volume:

[tex]\hookrightarrow \sf \pi r^2h[/tex]

[tex]\hookrightarrow \sf \pi (2x)^2(4xy^4)[/tex]

[tex]\hookrightarrow \sf \pi (4x^2)(4xy^4)[/tex]

[tex]\hookrightarrow \sf 16\pi x^3y^4[/tex]