Surface Area of Cylinders Practice

Question

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Question
Use the image to answer the question.

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.

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 .

(1 point)
feet

Answer 1

To find the surface area of a cylinder, we need to find the area of the two circles (2πr^2) and the area of the rectangle (2πrh).

Given that the surface area is 395.64 feet^2, we can set up the equation:
395.64 = 2(3.14)(3)^2 + 2(3.14)(3)h

Simplify:
395.64 = 56.52 + 18.84h

Subtract 56.52 from both sides:
339.12 = 18.84h

Divide by 18.84:
h = 18 feet

Therefore, the height of the net diagram is 18 feet.