Question

A fancy notepad has edges that follow the graphs of and . The notepad is 12 inches long and 1 inch thick.

Explain how you could use cross sections or slices cut perpendicular to the x-axis to find the volume of this notepad.

Answer 1

A fancy notepad has edges that follow the graphs of
\[y=\frac{ 1 }{ 2 }\sin(x)-2\] and \[y=2-\frac{ 1 }{ 2 }\sin(x)\].
The notepad is 12 inches long and 1 inch thick.

Explain how you could use cross sections or slices cut perpendicular to the x-axis to find the volume of this notepad.

Answer 2

@ganeshie8

Answer 3

@wolfe8

Answer 4

A Mathematica solution using the integral calculus is attached.