If a sphere is inscribed in a cube, then find the ratio of the volume of the sphere to the volume of the cube

nyungu6f5

nyungu6f5

Answered question

2023-03-12

If a sphere is inscribed in a cube, then find the ratio of the volume of the sphere to the volume of the cube

Answer & Explanation

Edward Hunter

Edward Hunter

Beginner2023-03-13Added 5 answers

Side of a cube = a
Volume of cube =a^3
The diameter of inscribed sphere = a
Radius (r)=a/2
Volume=4/3 pi r^3
=4/3 pi a^3/8=pi a^3/6
Ratio in their volumes=pi/6:1=pi:6

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