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A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume.

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a
87 m 3  
b
100 m 3  
c
96 m 3  
d
86.625 m 3   

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detailed solution

Correct option is D

Given, a cone and its diameter=10.5 m and height=3 m.
Radius of the conical heap = Diameter 2  .
10.5 2   m
Height of the conical heap = 3 m.
We know, volume of the cone = 1 3 π r 2 h   .
Volume of the heap,
  1 3 × 22 7 × 10.5 2 2 ×3    1 3 × 22 7 × 105 20 × 105 20 ×3  
86.625 m 3  
The volume of the heap is 86.625 m 3  .
Therefore, the correct option is 4.
 

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