GED Mathematical Reasoning TestQuantitative Problem Solving with MeasurementMedium
A client wants to purchase a new spherical fish tank with a radius of 1.5 feet. If the tank needs to be filled with water, what is the approximate volume of water required, in cubic feet?
- A14.13 ft³
- B7.07 ft³
- C42.39 ft³
- D28.26 ft³
Show answer & explanationAnswer & explanation
Correct answer: A. 14.13 ft³
To find the volume of water needed, use the formula for the volume of a sphere: V = (4/3)πr³. Substitute the given radius into the formula and calculate the volume.
Why the other options are wrong
- B. This results from (1/3)πr³ or other incorrect formula application.
- C. This is an overestimation, likely from an arithmetic error.
- D. This is double the correct answer, possibly from incorrect formula application or calculation.
Volume of a Sphere
The amount of three-dimensional space occupied by a sphere, or its capacity.
- Formula: V = (4/3)πr³
- r is the radius of the sphere
- Units are cubic units (e.g., ft³, m³)
Memory trick: Four-thirds Pi-R-Cubed for Sphere's Fluid