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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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m 3

100

m 3

m 3

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

= D i a m e t e r 2

⇒ 10.5 2

m
Height of the conical heap = 3 m.
We know, volume of the cone

= 13 π r 2 h

.
Volume of the heap,

⇒ 13 × 227 × 10.5 2 2 × 3

⇒ 13 × 227 × 10520 × 10520 × 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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