Multiple choice

How many metres long canvas will be needed to make a cone of height 24 m and radius 7 m if width of the canvas is 5 m.

  1. 115 m

  2. 120 m

  3. 114 m

  4. 110 m

  5. 150 m
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D Correct answer
Explanation

Slant height l = sqrt(24^2 + 7^2) = 25 m. Curved surface area = pi * r * l = (22/7) * 7 * 25 = 550 sq m. Canvas length = Area / width = 550 / 5 = 110 m.

AI explanation

The slant height of the cone is the square root of (24 squared plus 7 squared), which equals 25 m. The curved surface area of the cone is pi times 7 times 25, giving 175 pi square meters. The area of the canvas is its length times its width, so length equals 175 pi divided by 5. Using pi as 22 divided by 7, the length is 110 m.

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