The volume of largest right circular cone that can be cut out of the cube whose edge is 8 cm
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Answer:
Step-by-step explanation:
Please refer the given attachment for step by step explanation..
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Volume of largest cone that can be cut out from the cube of edge 8 cm is 2816/21 cm3.
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Answered by
1
Answer:
Step-by-step explanation:
Given that, the edge of the cube is 8 cm.
To find out: The volume of the largest cone that can be cut from the cube.
For the largest cone, the diameter and height must be equal to the edge of the cube.
Hence, radius of the cone =8÷2=4 cm
and height of the cone =8 cm
We know that,
Volume of a cone =
3
1
×πr
2
h
∴ Volume of the largest cone will be:
3
1
×
7
22
×4
2
×8=134.09 [using π=
7
22
]
Hence, the volume of the largest cone that can be cut from a cube of edge 8 cm is 134.09 cm
3
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