A spherical object has a density of 13.4 g/`cm^3`. If its mass is 40 g, what is the volume of the sphere, rounded to one decimal place?

Answer

To find the volume of a spherical object given its mass and density, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Density**:
The formula for density (D) is given by:
\[ D = \frac{M}{V} \]
where \(M\) is the mass and \(V\) is the volume.

2. **Rearrange the Formula to Find Volume**:
To find the volume, we can rearrange the formula:
\[ V = \frac{M}{D} \]

3. **Identify Given Values**:
From the question, we have:
- Mass (M) = 40 g
- Density (D) = 13.4 g/cm³

4. **Substitute the Values into the Volume Formula**:
Now, we can substitute the known values into the rearranged formula:
\[ V = \frac{40 \text{ g}}{13.4 \text{ g/cm}^3} \]

5. **Calculate the Volume**:
Perform the division:
\[ V = \frac{40}{13.4} \approx 2.98507462686567 \text{ cm}^3 \]

6. **Round the Volume to One Decimal Place**:
Rounding 2.985 to one decimal place gives us:
\[ V \approx 3.0 \text{ cm}^3 \]

### Final Answer:
The volume of the spherical object is approximately **3.0 cm³**.