Let be a constant with

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

Problem

Let

k

be a constant with

k > 2

. The region bounded above by

y = \sqrt{x}

, below by the

x

-axis, and on the right by

x = 4

is revolved about the horizontal line

y = k

. Express the volume

V(k)

of the resulting solid as a simplified function of

k