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 solve the problem, we need to calculate the volume of a completely filled cylindrical water tank using the formula for the volume of a cylinder.

1. Formula for Volume of a Cylinder:
The volume \( V \) of a cylinder is given by:

\( V = \pi r^2 h \)
where:
- \( r \) is the radius of the base
- \( h \) is the height of the cylinder
- \( \pi \approx \frac{22}{7} \) (as provided)

2. Substituting the Values:
Given:
- \( r = 7 \, \text{meters} \)
- \( h = 10 \, \text{meters} \)

Now substitute into the formula:
\( V = \frac{22}{7} \times 7^2 \times 10 \)
\( V = \frac{22}{7} \times 49 \times 10 \)

3. Simplifying the Expression:
\( V = \frac{22}{7} \times 490 = 22 \times 70 = 1540 \)

Final Answer:
The volume of water in the tank is 1540 cubic meters.