Q. 1 - Calculus

Question

Fill in the blanks to complete each of the following theorem statements.

The volume of a shell with height $h$, average radius $r$, and thickness $x$ is $V=\_\_\_\_\_\_\_$.

Step-by-Step Solution

Answer

$V=2\mathrm{\pi rhx}$

Step 1. Given Information.

$r$ is the radius,

$h$ is the height,

$x$ is the thickness of the shell.

Step 2. The volume

The volume of a shell is,

$V=2\mathrm{\pi rhx}$.