Multiple choice

A circus tent is cylindrical to a height of 3 m and conical above it. If its base radius is 52.5 m and slant height of the conical portion is 53 m, find the area of the canvas needed to make the tent

  1. 9735

  2. 9730

  3. 9720

  4. 9710
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A Correct answer
Explanation

Canvas area = lateral area of cylinder + lateral area of cone. Cylinder lateral area = 2 * pi * r * h = 2 * (22/7) * 52.5 * 3 = 990. Cone lateral area = pi * r * l = (22/7) * 52.5 * 53 = 8745. Total = 990 + 8745 = 9735.

AI explanation

The canvas covers the curved surface of the cylinder, which is 2 times pi times 52.5 times 3, equalling 315 times pi. It also covers the conical top, found by pi times 52.5 times 53 to be 2782.5 times pi. Adding these gives 3097.5 times pi, which using 22 divided by 7 for pi equals 9735.

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