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Q.

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

96 m 3  

b

100 m 3  

c

87 m 3  

d

86.625 m 3   

answer is D.

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Detailed Solution

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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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.