Anyone know how to do this with a explanation ?

Evaluate cos2θ for cosθ = square root of 3/2

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8

38 points and brainliest plz answer question in word document