The lateral area of the cylinder is 192 square inches.
The lateral area of the cylinder ([tex]A_{l}[/tex]), in square inches, is determined by the following formula:
[tex]A_{l} = p\cdot l[/tex] (1)
Where:
- [tex]p[/tex] - Perimeter of the right section, in inches.
- [tex]h[/tex] - Height of the cylinder, in inches.
If we know that [tex]p = 24\,in[/tex] and [tex]l = 8\,in[/tex], then the lateral area of the cylinder is:
[tex]A_{l} = (24\,in)\cdot (8\,in)[/tex]
[tex]A_{l} = 192\,in^{2}[/tex]
The lateral area of the cylinder is 192 square inches.
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Nota - There is mistake in the statement, the word 'element' was written instead of the word 'height'. The right statement is presented below:
What is the lateral area of a cylinder which has a height of 8 inches and a right section with a perimeter of 24 inches?
