Question

3. If the radius of a sphere is equal to the length of the sides of a cube,
are their volumes equal? Why or why not?

Answer 1

Step-by-step explanation:

Vcube = s3 where s is the side length

Vsphere = (4/3)·pi·r3 where r is the sphere's radius

Since the volumes are stated to be equal, set them equal:

Vcube = Vsphere

s3 = (4/3)·pi·r3

3/4pi = r3/s3

3√(3/4pi) = r/s