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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.
Q. What is the ratio of the volume of the sphere to that of cone?
  • a)
    6√3 : 1
  • b)
    7 : 2
  • c)
    3√3 : 1
  • d)
    5√3 : 1
Correct answer is option 'A'. 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)
Volume of sphere/volume of cone = 
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Most Upvoted Answer
Direction: Consider the following for the next three (03) items :A cub...
B)4
c)3
d)2
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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.Q. What is the ratio of the volume of the sphere to that of cone?a)6√3 : 1b)7: 2c)3√3 : 1d)5√3 : 1Correct answer is option 'A'. 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.Q. What is the ratio of the volume of the sphere to that of cone?a)6√3 : 1b)7: 2c)3√3 : 1d)5√3 : 1Correct answer is option 'A'. 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.Q. What is the ratio of the volume of the sphere to that of cone?a)6√3 : 1b)7: 2c)3√3 : 1d)5√3 : 1Correct answer is option 'A'. 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.Q. What is the ratio of the volume of the sphere to that of cone?a)6√3 : 1b)7: 2c)3√3 : 1d)5√3 : 1Correct answer is option 'A'. Can you explain this answer?.
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