A solid has base in the region bounded by ,

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

Problem

A solid has base in the region bounded by

x=0

x=3y

, and

y=0

y=2

. Cross sections perpendicular to the

y

–axis are equilateral triangles. What is the volume of the solid? (a)

12\sqrt{3}

(b)

3\sqrt{3}

(c)

6\sqrt{3}

(d)

\dfrac{9\sqrt{3}}{2}