Let , , and . The region under the line from to is revolved about the horizontal line…

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

Problem

Let

k>0

a>0

, and

d>0

. The region under the line

y=kx

from

x=0

x=a

is revolved about the horizontal line

y=-d

. Derive a simplified formula for the volume

V

of the solid in terms of

k

a

, and

d