83.4k views
5 votes
A cylinder with a height of 15 inches and a radius of 8 inches is intersected by a plane that passes through the centers of both bases. What is the area of the cross section?

User EboMike
by
7.7k points

1 Answer

6 votes

Final answer:

The area of the cross section of the cylinder is 64π square inches.

Step-by-step explanation:

The cross section of the cylinder is a circle.

To find the area of the cross section, we need to find the area of a circle with the same radius as the cylinder.

The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that the radius of the cylinder is 8 inches, we can substitute this value into the formula to find the area of the cross section: A = π(8 inches)² = 64π square inches.

The area of the cross section is therefore 64π square inches.

User Kfkhalili
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories