The region R is bounded by the y-axis, y = 4 and y = x^2. Which of these expressions represents the volume of the solid formed by revolving R about the x-axis? a. \int\limits^2_…

Question

The region R is bounded by the y-axis, y = 4 and y = x^2. Which of these expressions represents the volume of the solid formed by revolving R about the x-axis?

a.
`\int\limits^2_0 { \pi (16-x^4)} \, dx`
b.
`\int\limits^2_0 { \pi (4 - x^2)^2} \, dx`
c.
`\int\limits^2_0 { \pi (16-x^4)^2} \, dx`
d.
`\int\limits^2_0 {2\pi x(4 - x^2)} \, dx`
e. None of the above

Answer 1

I believe this one would be C