Answer:
The area of the resulting cross section is
![78.5\ m^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/isls1noi0i5bj4jvl6lgcq5f0j1mng6m5q.png)
Explanation:
we know that
The resulting cross section is a circle congruent with the circle of the base of cylinder
therefore
The area is equal to
![A=\pi r^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2z11w6ajg8k9itft7shcdqinea4lmf008k.png)
we have
![\pi=3.14](https://img.qammunity.org/2020/formulas/mathematics/middle-school/elnllul6m5wik5ibdc7x3b8auxqsmgjtbn.png)
-----> the radius is half the diameter
substitute the values
![A=(3.14)(5)^(2)=78.5\ m^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/99m5y8jxp0016t0v70eplkxjr0vqm8g8q2.png)