Find the volume of the solid that results when the region between

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

Problem

1. Find the volume of the solid that results when the region between

y=\frac{1}{x}, x=1, x=4

, and

y=0

is revolved about the

x

-axis. (A)

\frac{3}{4}

(B)

\frac{3 \pi}{4}

(C)

\frac{63}{64}

(D)

\frac{63 \pi}{64}