The lateral area of the cylinder is 192 square inches.
The lateral area of the cylinder (\(A_{l}\)), in square inches, is determined by the following formula:
\(A_{l} = p\cdot l\) (1)
Where:
- \(p\) - Perimeter of the right section, in inches.
- \(h\) - Height of the cylinder, in inches.
If we know that \(p = 24\,in\) and \(l = 8\,in\), then the lateral area of the cylinder is:
\(A_{l} = (24\,in)\cdot (8\,in)\)
\(A_{l} = 192\,in^{2}\)
The lateral area of the cylinder is 192 square inches.
To learn more on areas, we kindly invite to check this verified question: https://brainly.com/question/16151549
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?
