For , the region bounded by and is revolved about the vertical line . State the…

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

Problem

For

0 \le y \le 1

, the region bounded by

x = y^2

and

x = 0

is revolved about the vertical line

x = 3

. State the radius

R(y)

of a typical circular cross-section in terms of

y

and explain in one sentence why

R(y)

is positive on this interval.