Multiple choice

Tom possesses two cylinders which he intends to adorn and place in his lawn. In pursuit of this, he opts to envelop the curved surface areas of these cylinders with decorative material priced at $0.5 per square inch. The first cylinder has a radius of 35 inches and a height of 20 inches, while the second cylinder has a radius of 28 inches and a height of 35 inches. What is the total expenditure required?

  1. $12,260
  2. $10,560
  3. $6,280
  4. $5,280
  5. $4,200
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

CSA = 2*pi*r*h. Cylinder 1: 2*pi*35*20 = 1400*pi. Cylinder 2: 2*pi*28*35 = 1960*pi. Total area = 3360*pi. Using pi = 22/7, area = 3360 * 22/7 = 480 * 22 = 10,560 sq inches. Cost = 10,560 * 0.5 = 5,280.

AI explanation

The formula for the curved surface area of a cylinder is 2 times pi times radius times height. For the first cylinder, the curved surface area is 2 times pi times 35 times 20, which equals 1400*pi, and for the second cylinder, it is 2 times pi times 28 times 35, which equals 1960*pi. The total curved surface area to be covered is the sum of these two areas, giving 3360*pi square inches, and using pi as 22 divided by 7 results in 10,560 square inches. Multiplying this total area by the cost of \$0.5 per square inch gives a total expenditure of \$5,280.

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