Multiple choice

The circumference of a circle with a radius of 14 centimeters is a centimeters and the lateral surface area of a cylinder with a radius of 9 centimeters and height of 7 centimeters is b centimeters2. Quantity A The value of 4a Quantity B The value of b

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the given information.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

a = circumference = 2 * pi * 14 = 28 * pi (approx 87.96). Quantity A = 4a = 112 * pi (approx 351.86). b = lateral surface area of cylinder = 2 * pi * r * h = 2 * pi * 9 * 7 = 126 * pi (approx 395.84). Since 126 * pi > 112 * pi, Quantity B is greater.

AI explanation

The circumference of the circle is calculated as 2 times pi times the radius, giving 2 times 22/7 times 14, which equals 88 cm; therefore, quantity A is 4 times 88, which is 352. The lateral surface area of the cylinder is 2 times pi times radius times height, giving 2 times 22/7 times 9 times 7, which equals 396 cm2. Comparing the two values, 396 is greater than 352, so quantity B is greater.

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