The volume of a sphere is `1.76 m^3` What will be the volume of 25 such spheres taking into account the significant figures.

Options

A. `0.44 xx 10^(2) cm^(3)`
B. `44.0 cm^(3)`
C. `44 cm^(3)`
D. `44.00 cm^(2)`

Explanation

To find the volume of 25 spheres given that the volume of one sphere is \(1.76 \, m^3\), we will follow these steps:

### Step 1: Identify the volume of one sphere
The volume of one sphere is given as:
\[ V = 1.76 \, m^3 \]

### Step 2: Calculate the volume of 25 spheres
To find the total volume of 25 spheres, we multiply the volume of one sphere by 25:
\[ V_{total} = 25 \times V = 25 \times 1.76 \, m^3 \]

### Step 3: Perform the multiplication
Calculating the multiplication:
\[ V_{total} = 25 \times 1.76 = 44.00 \, m^3 \]

### Step 4: Determine the significant figures
The original volume \(1.76 \, m^3\) has three significant figures. When multiplying, the result should maintain the same number of significant figures as the measurement with the least number of significant figures. Therefore, the total volume must also be expressed with three significant figures.

### Step 5: Finalize the answer
The calculated total volume is \(44.00 \, m^3\), but we need to express this with three significant figures. Thus, we round it to:
\[ V_{total} = 44.0 \, m^3 \]

### Conclusion
The volume of 25 spheres is:
\[ \boxed{44.0 \, m^3} \]