In a warehouse a heap of grain is a cylinder of radius 4.2 m and height 2 m with a conical top of the same radius and height 3 m. Find the total volume of grain in cubic metres. (Take π = 22/7.)

Question

Accepted Answer

166.32. Base area \π r^2 = 22/7(4.2)^2 = 55.44 m². Cylinder = 55.44 × 2 = 110.88 m³. Cone = 1/3\π r^2 h = 1/3(55.44)(3) = 55.44 m³. Total = 110.88 + 55.44 = 166.32 m³. 277.2 is what you get if you use \π r^2 h for the cone and forget the 1/3 ; 110.88 counts only the cylinder; 332.64 is twice the correct answer.

In a warehouse a heap of grain is a cylinder of radius 4.2 m and height 2 m with a conical top of the same radius and height 3 m. Find the total volume of grain in cubic metres. (Take π = 22/7.)

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