Find the Volume of the Described Solid $y = 5 \cos x$

question 170

Multiple Choice

Find the volume of the described solid.
-The base of a solid is the region between the curve $y = 5 \cos x$ and the $x$ -axis from $x = 0$ to $x = \pi / 2$ . The cross sections perpendicular to the $x$ -axis are squares with diagonals running from the $x$ -axis to the curve.

• A) \(\frac { 25 } { 4 } \pi\)
• B) \(\frac { 5 } { 2 } \pi\)
• C) \(6 \pi\)
• D) \(\frac { 25 } { 8 } \pi\)