GED Mathematical Reasoning TestQuantitative Problem Solving with MeasurementMedium
A cylindrical water tank has a radius of 3 meters and a height of 10 meters. What is the maximum volume of water the tank can hold? (Use π ≈ 3.14)
- A188.4 cubic meters
- B282.6 cubic meters
- C314.0 cubic meters
- D94.2 cubic meters
Show answer & explanationAnswer & explanation
Correct answer: B. 282.6 cubic meters
The volume of a cylinder is calculated using the formula V = πr²h. Given r = 3 meters, h = 10 meters, and π ≈ 3.14, the volume is 3.14 * (3²) * 10 = 3.14 * 9 * 10 = 3.14 * 90 = 282.6 cubic meters.
Why the other options are wrong
- A. This is 2πrh (lateral surface area) if r=3, h=10 (2 * 3.14 * 3 * 10 = 188.4).
- C. This would be the volume if the radius was 10 and height was 1 (π * 10² * 1 = 314).
- D. This is 2πrh (lateral surface area) if r=3, h=5.
Volume of a Cylinder
The amount of three-dimensional space a cylinder occupies, or the capacity it can hold.
- Calculated by multiplying the area of the base (πr²) by the height (h).
- Formula: V = πr²h.
- Units are cubic units (e.g., cubic meters, liters).
Memory trick: Volume is like filling a can with liquid.