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A heap of sand is in the shape of a right circular cone whose base diameter is 24 m and whose height is 7 m. What is the volume of sand in the heap, in cubic metres? (Use π = 22/7.)

Competition practiceMensuration
  • A3168
  • B4224
  • C352
  • D1056

Step-by-Step Solution

The radius is 24/2 = 12 m. Volume = (1/3)π cubic m. The trap 3168 is that same figure with the 1/3 dropped, which is the volume of a CYLINDER on the same base and height; 4224 uses the diameter 24 m as the radius; 352 divides by 3 a second time.
Answer: D) 1056

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