Question

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

Answer 1

Answer:

Largest cube inscribed in a sphere of radius r = 2r/√3

and diagonal of cube = √3a

so,

diagonal = (2r/√3)*√3 = 2r = 2*7.5 = 15cm (Ans)

(Mark as brainlist)

Answer 2

The length of diagonal of cube is 15 cm.

Step-by-step explanation:

Given,

We can find out the length of diagonal through two ways.

Let us assume the side of cube be 'a'.

We know that,

Length of diagonal of cube=$a\sqrt{3}$

Length of cube is not given in the question.

Length of main diagonal of cube =$2\times radius\ of\ circle$

Length of main diagonal of the cube = $2\times 7.5$

The length of diagonal = 15 cm