There is a reservoir tank with the following dimensions: diameter of 25m and a height of 30m. Calculate the volume of the reservoir tank in m³. Use the formula: v= Pr2h, where P = Pie of 3.14

To calculate the volume of the reservoir tank, we'll use the formula:

\[
v = \pi r^2 h
\]

Given:
- Diameter (\(d\)) = 25 m
- Radius (\(r\)) = \(\frac{d}{2} = \frac{25}{2} = 12.5 \) m
- Height (\(h\)) = 30 m
- \(\pi \approx 3.14\)

Plugging the values into the formula:

\[
v = 3.14 \times (12.5)^2 \times 30
\]

Now, let's calculate this:

\[
v = 3.14 \times 156.25 \times 30 = 3.14 \times 4687.5 = 14797.5 \, \text{m}^3
\]

So, the volume of the reservoir tank is **14,797.5 cubic meters (m³).**

Would you like further details or have any questions?

Here are 5 related questions:
1. How would the volume change if the height of the tank was doubled?
2. What is the surface area of the reservoir, excluding the top and bottom?
3. If the tank was a cylinder of the same height but a square base, how would you calculate its volume?
4. How much water in liters can the reservoir hold?
5. How would the volume change if the diameter was reduced by 5 meters?

**Tip:** Remember that the volume of a cylinder scales with the square of the radius, so small changes in radius have a big effect on volume.

Learn how to calculate the volume of a reservoir tank with a diameter of 25 meters and a height of 30 meters using the formula V = π r^2 h. Detailed step-by-step solution provided. Suitable for Grades 7-9.

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