Brooke has a cylinder metal tin where he keeps his coins. The radius of the base is 5.5 inches and the height is 4 inches what is the area o

Question

Brooke has a cylinder metal tin where he keeps his coins. The radius of the base is 5.5 inches and the height is 4 inches what is the area of a vertical cross section of the cylinder through the center of the base?

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Hồng Cúc 3 years 2021-08-09T14:24:18+00:00 1 Answers 26 views 0

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    2021-08-09T14:25:53+00:00

    Answer:

    44 square inches.

    Step-by-step explanation:

    radius of the base = 5.5 inches

    height of the cylinder = 4 inches

    The shape of the vertical cross section of the cylinder through the center of the base would give a rectangle with length of 2r, and its width is the height of the cylinder.

    Area of the vertical cross section = height x diameter

    diameter of the cylinder = 2r

                                            = 2 x 5.5

                                            = 11 inches

    The diameter of the cylinder is 11 inches.

    Area of the vertical cross section = 4 x 11

                                            = 44 square inches.

    The area of a vertical cross section of the cylinder through the center of the base is 44 square inches.

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