Question

The region in the x-y plane bounded by the curve y=x^2, the line x=0 and the line x=5 and the x-axis. find the volume generated.

can you help me check for correction
the answer i got was = 625

Answer 1

You want to find volume. Are you rotating the region around a line, such as the x axis, or using cross sections?

Answer 2

dx pi y^2 from x = 0 to 5
pi dx (x^4 )
pi x^5/5
pi (625)
so I get 625 pi if we are spinning around the x axis