The region bounded above by

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

Problem

y = 3

, below by

y = kx

, and vertically by

x = 0

and

x = 2

is revolved about the

x

–axis to form a solid of revolution. If the volume of the solid is

12\pi

cubic units, determine the value of

k