Multiple choice

The diameter of the base of the cylinder is $12$ cm and the height is $8$ cm. Find the surface area of the solid cylinder.

  1. $520 \ cm^2$
  2. $524 \ cm^2$
  3. $528 \ cm^2$
  4. $532 \ cm^2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Surface area of a cylinder = 2*pi*r*h + 2*pi*r^2. Diameter = 12, so r = 6. h = 8. Area = 2 * (22/7) * 6 * 8 + 2 * (22/7) * 36. This does not result in an integer. Using pi = 3.14: 2 * 3.14 * 6 * 8 + 2 * 3.14 * 36 = 301.44 + 226.08 = 527.52, which rounds to 528.

AI explanation

Using the total surface area formula for a solid cylinder, which is 2*pi*r*(r+h), we first find the radius as half of the diameter, giving 6 cm. Substituting the radius of 6 cm and height of 8 cm into the formula yields 2 * (22/7) * 6 * (6 + 8). This calculates to (264/7) * 14, resulting in 528 cm^2.

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