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

Respuesta :

rotation

the volume of the cone is

[tex]V=\frac{\pi\times r^2\times h}{3}[/tex]

where the radio is 2 and the height is 4

[tex]V=\frac{\pi\times(2)^2\times(4)}{3}[/tex][tex]\begin{gathered} \frac{\pi\times4\times4}{3} \\ =\frac{16\pi}{3}\approx16.75 \end{gathered}[/tex]

Ver imagen JamaleW588433
Ver imagen JamaleW588433