Question

the length of a diagonal of a cube that can be inscribed in a sphere of radius 7.5 cm is​

Answer 1

Answer: 15cm

Step-by-step explanation:

When we inscribe a cube in a sphere, the opposite extreme corners touch the surface of the sphere. therefore, the diagonal of a cube is equal to the diameter.

Therefore, the diameter is 15 cm which is also the diagonal of the cube.

Answer 2

Step-by-step explanation:

these sum we should use Pythagoras therom I,e

ac^2=ab^2+bc^2

assume that diagonal is hypotenuse others as sides

AC^2=7.5^2+7.5^2

AC^2=56.25+56.25

AC^2=112.5

AC=√112.5

AC=10.6

so, diagonal is 10.6