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 \( 1540 \, \text{m}^3 \).