a A hole in the shape of a hemisphere is carved into each face of a cube. The holes are identical and centered at the centre of

Question

TiliK225 [7]

1 year ago

6

a A hole in the shape of a hemisphere is carved into each face of a cube. The holes are identical and centered at the centre of

each face. The holes touch their neighbours at only one point. The cube has side 2. What is the diameter of each hole?

Mathematics

1 answer:

morpeh [17] · Answer 1 · 2023-04-10T01:13:02+03:00

Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

<h3>What is a Hemisphere?</h3>

A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.

Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.

Therefore, the diameter of a full sphere = side length of cube.

Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

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