Suppose that region

R

bounded between

y=f(x)

and

y=g(x)

on theConsider the solid

S

whose base is the triangular region bounded between

y=0

\

x=0

, and

y=4-2x

. Cross-sections perpendicular to the

x

-axis are\ semi-circles with diameters running across the base of the solid. Find the volume of\ the solid.\ interval

xin[0,1]

has an area of 6 . Then the volume of the solid generated by\ rotating

R

about the

x

-axis is

36\\\\pi

.\ True\ False

Consider the solid S whose base is the triangular region bounded between y=0 x=0, and y=42x. Cross-sections perpendicular to the x-axis are semi-circles with diameters running across the base of the solid. Find the volume of the solid