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Finding Measurements of Cylindrical Objects

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XYZ University sends out its diplomas in a diploma mailer that's in the shape of a right circular cylinder. The ratio of the height of the mailer to the radius of its base is 5, and the total surface area of the mailer (lateral surface area, plus the areas of the top and the base) is 96 square inches. Find the height of the mailer and the radius of its base.

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Solution Summary

The formulas for the lateral surface area and total surface area of a right circular cylinder are reviewed. That formula, together with the given value of the total surface area and the given ratio of the height of the cylinder to the radius of the base, is then used to find the actual dimensions of the cylinder.

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Georgia Martin, PhD
Education
  • AB, Hood College
  • PhD, The Catholic University of America
  • PhD, The University of Maryland at College Park
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