Question

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Find the volume of the largest right Circular cone that can be cut of a cube whose edge is 21cm.
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Answer 1

Step-by-step explanation:

Given:-

A cube whose edge is 21cm.

To find :-

Find the volume of the largest right Circular cone that can be cut of a cube whose edge is 21cm. ?

Solution :-

Given that

The edge of a cube (a) = 21 cm

If the largest right Circular cone that can be cut of a cube whose edge is 21cm then

The radius of the cone = Edge of the cube /2

=> r = 21/2 cm

And height of the cone (h) = 21 cm

We know that

Volume of a right circular cone = (1/3)πr²h cubic units

=> Volume = (1/3)×(22/7)×(21/2)²×21 cm³

=> V = (1/3)×(22/7)×(21/2)×(21/2)×21

=> V = (1×22×21×21×21)/(3×7×2×2)

=> V = (11×21×21)/2

=> V = 4851/2

=> V = 2425.5 cm³

Answer:-

The volume of the given right circular cone is 2425.5 cm³

Used formulae:-

→ Volume of a right circular cone = (1/3)πr²h cubic units

• r = Radius
• h = Height
• π = 22/7

Used Concept :-

→ If the largest right Circular cone that can be cut of a cube then the height if the cone is its edge of the cube and the half of the edge is the radius of the cone.

Answer 2

Answer:

I hope this answer would help you

Step-by-step explanation:

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