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

Given: \[ r = 7 \, \text{m}, \quad h = 10 \, \text{m}, \quad \pi = \frac{22}{7} \] Step 1: Formula for Volume of a Cylinder The volume \( V \) of a cylinder is given by the formula: \[ V = \pi r^2 h \] Step 2: Substitute the values Substitute the given values into the formula: \[ V = \frac{22}{7} \times (7)^2 \times 10 \] Calculate step-by-step: \[ r^2 = 7 \times 7 = 49 \] \[ V = \frac{22}{7} \times 49 \times 10 \] \[ V = 22 \times 7 \times 10 = 1540 \, \text{cubic meters} \] Answer: The correct answer is option (1): 1540 cubic meters.