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An illustration shows a rectangle of unknown height with a circle of radius 3 feet attached to its top left and a circle of radius 3 feet attached to its bottom right. THANK YOU BOT FOR THE AWNSERS

If the surface area of the net diagram of the right circular cylinder is 395.64 feet2 , find the height of the net diagram. Use 3.14 for π .

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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the height of the net diagram of the right circular cylinder, we need to calculate the total surface area.

The surface area of a right circular cylinder can be calculated using the formula:

Surface Area = 2πr² + 2πrh

Where r is the radius of the base of the cylinder and h is the height.

In this case, we have two circles with radius 3 feet, so the total surface area is:

395.64 feet² = 2(3.14)(3)² + 2(3.14)(3)h

395.64 = 18.84 + 18.84h

Subtract 18.84 from both sides:

376.8 = 18.84h

Divide by 18.84 to solve for h:

h = 20 feet

Therefore, the height of the net diagram of the right circular cylinder is 20 feet.