Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14cm
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Consider a right circular cone is inserted in a cube.
Given edge of cube = 14 cm ..
The maximum height can be equal the edge of cube.
Height = 14 cm .
Also the diameter can be equal to the Edge.
Diameter = 14 cm.
Now, Radius = 7 cm.
Volume = 1/3πr²h = 1/3*22/7*7*7*14
= 22/3*7*14
= 718.66 cm³ ( approximately)
Therefore, the Volume of largest right circular cone is 718.66cm³
Given edge of cube = 14 cm ..
The maximum height can be equal the edge of cube.
Height = 14 cm .
Also the diameter can be equal to the Edge.
Diameter = 14 cm.
Now, Radius = 7 cm.
Volume = 1/3πr²h = 1/3*22/7*7*7*14
= 22/3*7*14
= 718.66 cm³ ( approximately)
Therefore, the Volume of largest right circular cone is 718.66cm³
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26
It must help u......thnx
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