The region in the first quadrant bounded by and (with both and measured in…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The region in the first quadrant bounded by

x=y

and

x=4

(with both

x

and

y

measured in centimeters) forms the base of a solid. Cross sections perpendicular to the

y

–axis are equilateral triangles. To the nearest tenth, what is the volume of the solid in cubic inches? (Note:

1\,\text{in}=2.54\,\text{cm}

.) (a)

0.5

(b)

1.4

(c)

0.6

(d)

0.7