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A grain silo is a cylinder of radius 5 m standing 12 m tall, capped by a cone of the same radius whose vertical height is 6 m. What is the silo's total capacity, in cubic metres? (Use π = 3.14.)

Competition practiceMensuration
  • A1099
  • B1413
  • C942
  • D4396

Step-by-Step Solution

Cylinder = π cubic m. Cone = (1/3)π cubic m. Total = 942 + 157 = 1099 cubic m. The trap 1413 = 942 + 471 treats the cap as a cylinder and forgets the cone's 1/3; 942 leaves the cap out altogether; 4396 reads the 5 m as a diameter turned radius of 10 m, which multiplies every part by four since the radius is squared.
Answer: A) 1099

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