Question

sketch and describe the solid that is produced when the region enclosed by y=4, x=0, and y=2x is rotated around the the y axis. then find the volume of the solid

Answer 1

rotation

the volume of the cone is

`V=(\pi* r^2* h)/(3)`

where the radio is 2 and the height is 4

`V=(\pi*(2)^2*(4))/(3)`
`\begin{gathered} (\pi*4*4)/(3) \\ =(16\pi)/(3)\approx16.75 \end{gathered}`