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 determine the solution, we must calculate the volume of a cylindrical water tank using its provided radius and height.

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

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

3. Calculation and Simplification:
First, compute the square of the radius:
\( 7^2 = 49 \)
Next, perform the multiplication:
\( V = \frac{22}{7} \times 49 \times 10 \)
Simplify by dividing 49 by 7:
\( V = 22 \times 7 \times 10 = 1540 \, \text{m}^3 \)

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