Question: An oceanographer analyzing spherical underwater sensor buoy designs compares a full buoy of radius $2r$ to a hemispherical float of radius $r$. What is the ratio of the volume of the buoy to the volume of the float?

Sat, 02 May 2026 19:53:32 +0000

**Understanding Submerged Technology: The Volume Ratio of Buoy to Float in Modern Oceanography** When coastal monitoring systems and underwater research networks evolve, engineers face a key design challenge: optimizing buoyancy, stability, and sensor efficiency in marine environments. A frequently discussed comparison centers on a full spherical buoy of radius $2r$ and a complementary hemispherical float of radius $r$, both used in autonomous underwater sensor platforms. With growing interest in sustainable ocean observation and real-time environmental data collection, understanding their volumetric relationship reveals critical insights into efficient design and resource use. --- ### Why This Design Comparison Is Gaining Attention in the US