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The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is
- a)4.2
- b)2.1
- c)8.1
- d)1.05
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The radius (in cm) of the largest right circular cone that can be cut ...
Diameter of cone= edge of cube
Radius= edge of cube/2
=4.2/2
=2.1cm
Most Upvoted Answer
The radius (in cm) of the largest right circular cone that can be cut ...
Diameter of cone = edge of cube.
2r =4.1
r = 4.1/2
r = 2.1 cm
Hence radius of cone is equal to 2.1cm
2r =4.1
r = 4.1/2
r = 2.1 cm
Hence radius of cone is equal to 2.1cm
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Community Answer
The radius (in cm) of the largest right circular cone that can be cut ...
To find the radius of the largest right circular cone that can be cut out from a cube, we need to understand the relationship between the cube and the cone.
Relationship between the Cube and Cone:
When a right circular cone is inscribed inside a cube, the base of the cone is a circle that is tangent to all four faces of the cube. The diameter of this circle is equal to the edge length of the cube.
Calculating the Radius of the Cone:
1. Given that the edge length of the cube is 4.2 cm, we need to find the radius of the cone.
2. The diameter of the base of the cone is equal to the edge length of the cube, which is 4.2 cm.
3. The radius of the cone is half the diameter, so the radius is 4.2 cm / 2 = 2.1 cm.
Hence, the radius of the largest right circular cone that can be cut out from a cube with an edge length of 4.2 cm is 2.1 cm.
Explanation:
When a right circular cone is inscribed inside a cube, the cone's base lies on the face of the cube and is tangent to all four faces. In this case, the base of the cone is a circle with a diameter equal to the edge length of the cube. The radius of this circle, and hence the cone, is half the diameter.
In our given problem, the edge length of the cube is 4.2 cm. Therefore, the diameter of the base of the cone is also 4.2 cm. To find the radius, we divide the diameter by 2, giving us a radius of 2.1 cm.
Hence, option 'B' (2.1 cm) is the correct answer.
Relationship between the Cube and Cone:
When a right circular cone is inscribed inside a cube, the base of the cone is a circle that is tangent to all four faces of the cube. The diameter of this circle is equal to the edge length of the cube.
Calculating the Radius of the Cone:
1. Given that the edge length of the cube is 4.2 cm, we need to find the radius of the cone.
2. The diameter of the base of the cone is equal to the edge length of the cube, which is 4.2 cm.
3. The radius of the cone is half the diameter, so the radius is 4.2 cm / 2 = 2.1 cm.
Hence, the radius of the largest right circular cone that can be cut out from a cube with an edge length of 4.2 cm is 2.1 cm.
Explanation:
When a right circular cone is inscribed inside a cube, the cone's base lies on the face of the cube and is tangent to all four faces. In this case, the base of the cone is a circle with a diameter equal to the edge length of the cube. The radius of this circle, and hence the cone, is half the diameter.
In our given problem, the edge length of the cube is 4.2 cm. Therefore, the diameter of the base of the cone is also 4.2 cm. To find the radius, we divide the diameter by 2, giving us a radius of 2.1 cm.
Hence, option 'B' (2.1 cm) is the correct answer.
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The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm isa)4.2b)2.1c)8.1d)1.05Correct answer is option 'B'. Can you explain this answer?
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