The following sentence is true or false is to be decided and described:
All spheres are similar.
Answer to Problem 23HP
The given sentence is true. All spheres are similar.
Explanation of Solution
Yes. All spheres are similar.
A sphere is defined as a collection of the all points which are equidistance from a centre point.
Now, solid pair is said to be similar when it has similar shape and all corresponding dimensions of the solid pair is same or proportional.
With pair of solid sphere, the only comparable point is the radius or diameter. So, if the ratios of its radii or diameter are equal then they are said to be similar.
Conclusion:
Hence, the given statement is true.
Chapter 12 Solutions
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