Radius of cylindrical water tank is 3.5 m and height is 7 m if 1 cubic metre of water cost rs 10 how much will it cost to fill the tank

The volume \( V \) of a cylindrical tank can be calculated using the formula:

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

where:
- \( r = 3.5 \, \text{m} \) (radius),
- \( h = 7 \, \text{m} \) (height),
- \( \pi \approx 3.14159 \).

### Step 1: Calculate the Volume
\[
V = \pi \times (3.5)^2 \times 7
\]
\[
V = 3.14159 \times 12.25 \times 7
\]
\[
V \approx 269.39 \, \text{cubic meters}
\]

### Step 2: Calculate the Cost
If 1 cubic meter of water costs Rs 10, the cost to fill the tank is:
\[
\text{Total Cost} = 269.39 \times 10 = 2693.9 \, \text{Rs}
\]

### Final Answer:
The cost to fill the tank is approximately **Rs 2693.9**.

Would you like more details or have any questions?

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Here are related questions to consider:
1. What would the cost be if the radius were doubled?
2. How would the cost change if the height of the tank increased to 10 m?
3. What is the effect on cost if water prices increase by 15%?
4. How much would it cost to fill half of the tank?
5. What would the total volume be if the tank’s diameter doubled?

**Tip:** For any cylinder, doubling the radius increases the volume by a factor of four, as the radius term is squared in the volume formula.

Learn how to calculate the cost to fill a cylindrical water tank with a radius of 3.5 m and height of 7 m, given that the water costs Rs 10 per cubic meter. This problem demonstrates how to use the volume formula for cylinders and apply cost calculations, making it suitable for students in Grades 6-8.

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