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Grain is heaped on a threshing floor in the shape of a right circular cone of base radius 12 m and vertical height 5 m. What area of canvas, in square metres, is needed to cover the heap exactly? (Use π = 3.14.)

Competition practiceMensuration
  • A188.4
  • B753.6
  • C489.84
  • D942

Step-by-Step Solution

Canvas covers only the sloping surface, so first find the slant height: = √ √169 = 13 m. Curved surface = π 13 = 489.84 sq m. The trap 188.4 uses πrh with the vertical height 5 m in place of the slant height 13 m; 942 adds the base circle 452.16 sq m, but a heap standing on the floor needs no canvas underneath; 753.6 is the heap's VOLUME (1/3)πh, a cubic quantity offered where an area was asked.
Answer: C) 489.84

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