Question

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.)

Answer 1

volume:
`\sf 16\pi x^3y^4`

given:

• height:
  `\sf 4xy^4`

• radius:
  `\sf 2x`

cylinder volume:

`\hookrightarrow \sf \pi r^2h`

`\hookrightarrow \sf \pi (2x)^2(4xy^4)`

`\hookrightarrow \sf \pi (4x^2)(4xy^4)`

`\hookrightarrow \sf 16\pi x^3y^4`