GED Mathematical Reasoning TestQuantitative Problem Solving with MeasurementMedium
A farmer is planning to build a new cylindrical grain silo with a height of 15 meters and a diameter of 8 meters. What is the maximum volume of grain, in cubic meters, that the silo can hold?
- A75.4 m³
- B301.6 m³
- C753.6 m³
- D1507.2 m³
Show answer & explanationAnswer & explanation
Correct answer: C. 753.6 m³
To find the maximum volume, use the formula for the volume of a cylinder: V = πr²h. Remember that the diameter is given, so you must first calculate the radius (r = d/2).
Why the other options are wrong
- A. This results from using the diameter as the radius or other calculation errors.
- B. This results from using diameter as radius (π * 8² * 15) or other calculation errors.
- D. This is double the correct answer, possibly from using diameter instead of radius for r² or other error.
Volume of a Cylinder
The amount of three-dimensional space occupied by a cylinder, or its capacity.
- Formula: V = πr²h
- Units are cubic units (e.g., m³, ft³)
- Represents how much a cylindrical container can hold
Memory trick: Pi-R-Squared-H for Cylinder's Space