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 \(\pi = \frac{22}{7}\))

• A. 1540 cubic meters
• B. 1470 cubic meters
• C. 1370 cubic meters
• D. 1620 cubic meters

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

The Correct Option is A

To solve the problem, we need to find the volume of a cylindrical water tank given its radius and height.

1. Understanding the Formula for Volume of a Cylinder:
The volume \( V \) of a cylinder is given by the formula:
\( V = \pi r^2 h \)
where \( r \) is the radius and \( h \) is the height of the cylinder.

2. Substituting the Given Values:
Given: 
Radius \( r = 7 \, \text{m} \) 
Height \( h = 10 \, \text{m} \) 
\( \pi = \frac{22}{7} \) 
Substitute these into the formula:
\( V = \frac{22}{7} \times (7)^2 \times 10 \)

3. Simplifying the Expression:
First, calculate \( r^2 \):
\( 7^2 = 49 \)
Now multiply:
\( V = \frac{22}{7} \times 49 \times 10 \)
Cancel 7 in the denominator with 49:
\( V = 22 \times 7 \times 10 = 1540 \, \text{m}^3 \)

Final Answer:
The volume of water in the tank is \( 1540 \, \text{m}^3 \).