The volume V of a sphere is given by V = (4/3)πr³. Thus, V = (4/3)π(3)³ = (4/3)π(27) = 36π.

In similar circles, the radii are proportional.

Using the Pythagorean theorem, 6² + 8² = 36 + 64 = 100 = 10², so triangle DEF is a right triangle.

Using the Pythagorean theorem, since 6² + 8² = 36 + 64 = 100 = 10², triangle DEF is a right triangle.

Since two angles are equal, triangle XYZ is an isosceles triangle.

Using the Pythagorean theorem, hypotenuse = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.