Find the volume V of the solid obtained by rotating the regi

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

Sketch the region.

Sketch the solid, and a typical disk or washer.

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 2? , x = 0, y = 7; about the y-axis Sketch the region. Sketch the solid, and a typical disk or washer.

Solution

I am assuming that y = 4 - (x/2).

The endpoints of the graph are 0 and 1. Since you are revolving the solid with only a function, we apply disk method. The formula for that is:

V = ? ?(x = a,b) R(x)