6) Line y=x between x = 0 and x = 1 is rotating around the x - axis. (It forms a cone). Calculate a) The volume of the resulting cone b) The surface area of the cone

Q: z2 = 9 and outside the cylinder x? + y? = 1.

A: coordinates, x=r cos θy=r sin θz=2 x2+y2=r2cos2θ+sin2θ=r2x2+y2+z2=9r2+z2=9⇒z=±9-r2 x2+y2=r2⇒r=2

Q: る 4 z = 4 - x - y 1 2 y = x y = 2 3. 2.

A: Here we have to use the concept of double integral to find the volume of the given figure

Q: Find the volume generated by rotating the given region about specified line. Sketch the region, and…

A: To find the points of intersection:       e-x=1lne-x=ln1      -x=0         x=0

Q: Find the volume of y=1+secx and y=3 rotated about y=1. Use washer method.

A:

Q: a) How much less is the volume of the cone than b) Using R = the volume of the cylinder of the same…

A: Part(a) Given figure