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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
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1 Answer

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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
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