UPSC CDS I 2019 Math Paper

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Consider the following for the next three (03) items:
A cube is inscribed in a sphere. A right circular cylinder is with in the cube touching all the vertical faces, A right circular cone is in side the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.
[2019 CDS-I]
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Question : 98 of 100
 
Marks: +1, -0
An equilateral triangle ABC is inscribed in a circle of radius 20√3 cm.
The centroid of the triangle ABC is at a distance d from the vertex A. What is d equal to?
[2019 CDS-I]
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