Multiple choice

In a household, a cylindrical tank is designated for water storage. The tank has a diameter of 10 feet and a height of 7 feet. The homeowner plans to paint the cylindrical tank, leaving the top and bottom surfaces unpainted. What is the total surface area, in square feet, of the cylindrical tank that needs to be painted?

  1. 14π

  2. 35π

  3. 70π

  4. 175π
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C Correct answer
Explanation

The lateral surface area of a cylinder is 2 * pi * r * h. Given diameter = 10 feet, radius r = 5 feet. Height h = 7 feet. Area = 2 * pi * 5 * 7 = 70 * pi square feet.

AI explanation

Since the top and bottom are unpainted, we must find the curved surface area of the cylinder using the formula 2 times pi times radius times height. The radius is half of the 10-foot diameter, making it 5 feet. Plugging in the values gives 2 times pi times 5 times 7, which equals 70 times pi square feet.

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