A cylindrical tank has a height of 10 meters and a radius of 3 meters. If it is filled with water, what is the volume of water in cubic meters? Use $$ V = \pi r^{2}h $$ to calculate.

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UpStudy AI · Accepted Answer

To calculate the volume of water in the cylindrical tank, you can use the formula for the volume of a cylinder:

$$
V = \pi r^{2} h
$$

Where:
- $$ V $$ is the volume,
- $$ \pi $$ is Pi (approximately 3.14159),
- $$ r $$ is the radius of the cylinder,
- $$ h $$ is the height of the cylinder.

**Given:**
- Radius ($$ r $$) = 3 meters
- Height ($$ h $$) = 10 meters

**Calculation:**

1. **Square the radius:**
   $$
   r^{2} = 3^{2} = 9 \text{ m}^2
   $$

2. **Multiply by the height:**
   $$
   r^{2} \times h = 9 \times 10 = 90 \text{ m}^3
   $$

3. **Multiply by Pi:**
   $$
   V = \pi \times 90 \approx 3.14159 \times 90 \approx 282.74 \text{ m}^3
   $$

**Final Answer:**
The volume of water in the cylindrical tank is $$ 90\pi $$ cubic meters, which is approximately **282.74 m³**.
The volume of water in the cylindrical tank is $$ 90\pi $$ cubic meters, which is approximately **282.74 m³**.

A cylindrical tank has a height of 10 meters and a radius of 3 meters. If it is filled with water, what is the volume of water in cubic meters? Use to calculate.

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