Question

A cylindrical water tank has a radius of 7 meters and a height of 10 meters. If the tank is completely filled with water, what is the volume of water in the tank? (Use \(\pi = \frac{22}{7}\))

Hint:

Remember: For cylinder volume (\( V = \pi r^2 h \)), square the radius first, then multiply by height and \(\pi\). Ensure \(\pi\) matches the question’s value.

Answer 1

To determine the volume of the fully filled cylindrical water tank, we will apply the standard formula for the volume of a cylinder.

1. Cylinder Volume Formula:
The volume \( V \) of a cylinder is calculated as:

\( V = \pi r^2 h \)
where:
- \( r \) represents the radius of the cylinder's base.
- \( h \) denotes the height of the cylinder.
- \( \pi \) is approximated as \( \frac{22}{7} \), as specified.

2. Value Substitution:
The provided dimensions are:
- Radius \( r = 7 \, \text{meters} \)
- Height \( h = 10 \, \text{meters} \)

Inserting these values into the formula yields:
\( V = \frac{22}{7} \times 7^2 \times 10 \)
\( V = \frac{22}{7} \times 49 \times 10 \)

3. Simplification:
The expression simplifies to:
\( V = \frac{22}{7} \times 490 = 22 \times 70 = 1540 \)

Final Result:
The volume of water contained within the tank is 1540 cubic meters.