Find the volume of largest solid right circular cone that can be cut off a solid cube of side 14cm
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Cone is having diameter
Length of cube = 14 cm
Radius = \bf\huge\frac{14}{2} cm
Radius = 7
Height of cone is equal to the height of cube
= 14 cm
Volume of cone
\bf\huge = \frac{1}{3} \pi r^{2} h
\bf\huge = \frac{1}{3} \times\frac{22}{7} \times 7^{2} \times 14
= 718.66 cm³
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Answer:
Given:
The edge of cube = 14 cm
⇒This will be the altitude of the cone.
Now,
The radius of circular cone will be 14/2=7 cm.
As, we know that,
The volume of cone is given by formula:
where,
R is the radius and H the altitude of cone.
Also, we are asked for the largest cone, its volume must be equal or less than the volume of cube.
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