Five-dimensional geometry could be the reason why gravity is perceived as a force that traversesall dimensions, which would explain dark energy and dark matter. There is an interesting geometricrelationship between hyperspheres, where a similarity is noted with the percentages of visible matter,dark matter, and dark energy. A 5th-dimensional hypersphere R5 that includes within itself another4th-dimensional one R4, when the first is derived twice and the second once, becomes compatible withour R3 universe. Thus, the resulting volumes, when calculating their percentages, coincide with thepercentages of visible matter (3D) ∼5%, dark matter (4D) ∼27% and dark energy (5D) ∼68%. It is as ifdark energy permeates or leaks from a fifth dimension and dark matter does so from a fourth dimensioninto ours, which matches our measurements and estimates. Keywords: 5D Geometry, Hyperspheres, Dark Matter, Dark Energy, Multidimensional Universe