The sphere chair is like a large ball and is generally quite comfortable to sit in. These chairs are generally available in a price-reduction outlet. They are also easily found on many websites.
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Two points. These may coincide if the line is a tangent to the sphere.
none
Aqua Sphere goggles can be purchased online at least from Aqua Sphere website, Amazon, and eBay. They may also be available in local stores that specialize in swimming gear.
We live on a sphere. Calculating 'shortest' distance on the sphere is not a simple trig problem, you may need spherical trig.
a sphere/ball or neither. it may be nothing