Two identical spheres are fitted in a cylindrical vase. The two spheres touch the side, the top and the base of the cylindrical vase as shown. If the diameter and the height of the vase are 16cm and 18cm respectively, find the radius of the sphere.

Question

anonymous · Answer

attachment

anonymous · Answer

The diagonal line whick is along the diameters of both spheres can be calculated by the Pythagorean Theorem

anonymous · Answer

Lacking 1 data piece that is the angle at which the balls center-line forms with horizontal direct

anonymous · Answer

How to set up the equation?

anonymous · Answer

d^2 = 16^2 + 18^2
d=sqrt(580)

anonymous · Answer

In fact I can prove that for different angle the answer will be diferent

anonymous · Answer

anyone can prove that dude....but its mentioned that the spheres touch the top

anonymous · Answer

@Mikael Go ahead, if you can.
@him1618 That's not the correct equation (given in the solution)

anonymous · Answer

Any way the formula for the solution I will provide - aaand u'l see that angle is required

anonymous · Answer

Surprisingly, angle is not required in the solution.

anonymous · Answer

Yes you right

anonymous · Answer

The answer is Diagonal of vase =$$2\sqrt{r} + 2r$$

anonymous · Answer

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