Multiple choice

The ratio of total surface area to the lateral surface area of a cylinder with base radius 80cm and height 20cm is

  1. 1:5

  2. 2:3

  3. 5:1

  4. 3:2
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C Correct answer
Explanation

Total surface area = 2 * pi * r * (r + h). Lateral surface area = 2 * pi * r * h. Ratio = (r + h) / h = (80 + 20) / 20 = 100 / 20 = 5/1.

AI explanation

The formula for total surface area is 2 pi r (h + r) and lateral surface area is 2 pi r h. Substituting the given dimensions gives the ratio of 2 pi times 80 times (20 + 80) to 2 pi times 80 times 20, which simplifies to 100 to 20. Reducing this fraction gives the final ratio of 5 to 1.

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