Answer:
Explanation:
A right triangle drawn inside a sphere is a spherical right triangle. The longest side of a spherical right triangle is the diameter of the sphere. The other two sides are called half-chords.
In this problem, the hypotenuse of the spherical right triangle is 20 cm. This means that the diameter of the sphere is 20 cm. The radius of the sphere is half the diameter, so the radius is 20/2 = 10 cm.
To the nearest hundredth, the radius of the sphere is 10.00 cm.
Here is the work in more detail:
The hypotenuse of the spherical right triangle is 20 cm.
The diameter of the sphere is equal to the hypotenuse of the spherical right triangle.
The radius of the sphere is half the diameter.
Therefore, the radius of the sphere is 20/2 = 10 cm.
To the nearest hundredth, the radius of the sphere is 10.00 cm.