roughworks

UCEED 2024

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UCEED2024Q12·nat·Hard

Shown below is a configuration of FOUR solid spheres each of radius 40 cm that are placed on four corners of a regular tetrahedron with side 120 cm. The centres of the spheres coincide with the corners of the tetrahedron. What is the radius (in cm) of the largest sphere that can be accommodated within the tetrahedron?

Shown below is a configuration of FOUR solid spheres each of radius 40 cm that are placed on four corners of a regular tetrahedron with side 120 cm. The centres of the spheres coincide with the corners of the tetrahedron. What is the radius (in cm) of the largest sphere that can be accommodated within the tetrahedron?