Question

when cutting a cylinder horizontally, parallel to the base with a radius of 14 inches, what is the area of the resulting cross - section? use 3.14 for π. round your answer to the nearest tenth.
use the keypad to type your answer in the box provided.
the area of the cross - section is square inches.

Explanation:

Step1: Determine the shape of the cross - section

When a cylinder is cut horizontally parallel to the base, the cross - section is a circle.

Step2: Recall the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\), where \(r\) is the radius of the circle.

Step3: Substitute the given values into the formula

Given \(r = 14\) inches and \(\pi=3.14\), we substitute these values into the formula:
\(A=3.14\times14^{2}\)
First, calculate \(14^{2}=14\times14 = 196\).
Then, \(A=3.14\times196\)
\(A = 615.44\)

Answer:

\(615.4\)