Question

the volume of the largest right circular cone that can be cut of a cube whose edge is7cm​

Answer 1

Answer:

89.833 cm³

Step-by-step explanation:

plzzz refer to the attachment.....

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Answer 2

$\large{\underline{\rm{\blue{\bf{Given:-}}}}}$

Edge of the cone = 7 cm

That is, the diameter = 7 cm

$\large{\underline{\rm{\blue{\bf{To \: Find:-}}}}}$

The volume of the largest right circular cone that can be cut off a cube.

$\large{\underline{\rm{\blue{\bf{Solution:-}}}}}$

Given that, the diameter of the cone = 7 cm

Then, the radius = $\sf \dfrac{Diameter}{2}$

$\implies \sf \dfrac{7}{2}\: cm$

$\boxed{\sf Volume \: of \: a\: cone=\dfrac{1}{3} \pi r^{2} h }$

Here, the height will be 7 cm and radius will be 7/2 cm

Substituting their values, we get

Volume of a cone = $\sf \dfrac{1}{3} \times \dfrac{22}{7} \times \bigg(\dfrac{7}{2} \bigg)^{2} \times 7$

$\implies \sf \dfrac{49 \times 11}{6}$

$\implies \sf 89.83 \: cm^{2}$

Therefore, the volume of the largest right circular cone that can be cut of a cube is 89.83 cm²

$\large{\underline{\rm{\blue{\bf{To \: Note:-}}}}}$

The volume of a cube defines the number of cubic units, occupied by the cube completely.

Volume = l × w × h , where l is length, w is width and h is height.

The volume of a cube will define the number of cubic units, that cube will occupy.

The volume of an object is defined as the amount of space that a solid occupies. As we know that a cube is a 3-dimensional object with all equal sides i.e. length, breadth, and height.