Question

If a sphere with radius r is inscribed in a cube with edges of length e, which of the following expresses the relationship between r and e ?
A. r=12er=12e
B. r = e
C. r = 2e
D. r=eâr=e
E. r=14e2

Answer 1

Answer:

r= $\frac{1}{2}e$

Explanation:

when a sphere is inscribed in a cube , a side of the cube equals the diameter of the sphere, hence;

d = e

but d = 2r

2r =e

r= $\frac{1}{2}e$