Let be the solid whose base is the region bounded by and the -axis for

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

S

be the solid whose base is the region bounded by

y=x

and the

x

-axis for

0\le x\le 2

. Cross sections perpendicular to the

x

-axis are isosceles right triangles with their legs in the base. Calculate the exact volume of

S