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Direction: Consider the following for the next three (03) items :
A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.
1) The surface area of the sphere is √5
Times the curved surface area of the cone.
2) The surface area of the cube is equal to the curved surface area of the cylinder.
Q. Which of the above statements is/are correct?
  • a)
    1 only
  • b)
    2 only
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Direction: Consider the following for the next three (03) items :A cub...

The top view of the given assembly will look like the figure above
Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.
Here side of cube = a
Diameter of Sphere = body diagnol = √3 a
Radius of sphere = √3 a/2 = r1
Height of Cylinder = Height of cone = side of cube = a = h
Radius of cylinder = Radius of cone = side of cube/2 = a/2 = r2 (as shown in the figure)
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Direction: Consider the following for the next three (03) items :A cub...

The top view of the given assembly will look like the figure above
Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.
Here side of cube = a
Diameter of Sphere = body diagnol = √3 a
Radius of sphere = √3 a/2 = r1
Height of Cylinder = Height of cone = side of cube = a = h
Radius of cylinder = Radius of cone = side of cube/2 = a/2 = r2 (as shown in the figure)
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Direction: Consider the following for the next three (03) items :A cub...
D
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Direction: Consider the following for the next three (03) items :A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.1) The surface area of the sphere is √5Times the curved surface area of the cone.2) The surface area of the cube is equal to the curved surface area of the cylinder.Q.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?
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Direction: Consider the following for the next three (03) items :A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.1) The surface area of the sphere is √5Times the curved surface area of the cone.2) The surface area of the cube is equal to the curved surface area of the cylinder.Q.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Direction: Consider the following for the next three (03) items :A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.1) The surface area of the sphere is √5Times the curved surface area of the cone.2) The surface area of the cube is equal to the curved surface area of the cylinder.Q.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Consider the following for the next three (03) items :A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.1) The surface area of the sphere is √5Times the curved surface area of the cone.2) The surface area of the cube is equal to the curved surface area of the cylinder.Q.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?.
Solutions for Direction: Consider the following for the next three (03) items :A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.1) The surface area of the sphere is √5Times the curved surface area of the cone.2) The surface area of the cube is equal to the curved surface area of the cylinder.Q.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence. Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of Direction: Consider the following for the next three (03) items :A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.1) The surface area of the sphere is √5Times the curved surface area of the cone.2) The surface area of the cube is equal to the curved surface area of the cylinder.Q.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Direction: Consider the following for the next three (03) items :A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.1) The surface area of the sphere is √5Times the curved surface area of the cone.2) The surface area of the cube is equal to the curved surface area of the cylinder.Q.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Direction: Consider the following for the next three (03) items :A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.1) The surface area of the sphere is √5Times the curved surface area of the cone.2) The surface area of the cube is equal to the curved surface area of the cylinder.Q.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Direction: Consider the following for the next three (03) items :A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.1) The surface area of the sphere is √5Times the curved surface area of the cone.2) The surface area of the cube is equal to the curved surface area of the cylinder.Q.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Direction: Consider the following for the next three (03) items :A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.1) The surface area of the sphere is √5Times the curved surface area of the cone.2) The surface area of the cube is equal to the curved surface area of the cylinder.Q.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Defence tests.
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