An ichthyologist is analyzing the habitat of a fish species in an aquarium shaped like a rectangular tank. The tank measures 80 cm by 60 cm and is filled with water up to a height of 50 cm. A solid spherical rock with a radius of 10 cm is submerged in the tank. What is the change in the water level in the tank, in centimeters, after the rock is submerged? Express your answer as a decimal.

Mon, 20 Apr 2026 02:12:11 +0000

**An ichthyologist is analyzing the habitat of a fish species in an aquarium shaped like a rectangular tank. The tank measures 80 cm by 60 cm and holds water up to a height of 50 cm. Now, when a solid spherical rock with a radius of 10 cm is carefully submerged, a precise question arises: By how much does the water level rise in centimeters? This isn’t just a technical query—it reflects growing interest in aquarium science, habitat modeling, and the nuanced physics of controlled aquatic environments. As aquarists and researchers seek to optimize fish welfare and ecosystem balance, understanding these subtle changes becomes essential. --- ### Why An ichthyologist is analyzing the habitat of a fish species in an aquarium shaped like a rectangular tank. The tank measures 80 cm by 60 cm and is filled with water to a height of 50 cm. When a solid spherical rock with a radius of 10 cm is submerged, it displaces water proportional to its own volume—yet because the tank’s dimensions limit upward displacement, precise calculations determine the actual rise in water level. This shift matters not only for accurate habitat modeling but also for observing how subtle physical changes impact fish behavior and plant growth in controlled settings. Today, this question reflects a rising trend in science-driven aquarium hobbyism, where data informs better management practices. ---