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The problem asks to find the mass in kilograms of a spherical object whose diameter is 15 inches and density is 3.4 g/cm³. 

The formula for mass using density is:

\[
\text{mass} = \text{density} \times \text{volume}
\]

### Step-by-step solution:

1. **Convert diameter from inches to centimeters**:
   - 1 inch = 2.54 cm, so the diameter in cm is:
     \[
     15 \, \text{inches} \times 2.54 \, \text{cm/inch} = 38.1 \, \text{cm}
     \]
   - The radius is half the diameter:
     \[
     \text{radius} = \frac{38.1}{2} = 19.05 \, \text{cm}
     \]

2. **Find the volume of the sphere**:
   The volume \(V\) of a sphere is given by the formula:
   \[
   V = \frac{4}{3} \pi r^3
   \]
   Substituting the radius \(r = 19.05\) cm:
   \[
   V = \frac{4}{3} \pi (19.05)^3 = \frac{4}{3} \times 3.1416 \times 6905.82 = 28,973.47 \, \text{cm}^3
   \]

3. **Calculate the mass**:
   Using the density \(\rho = 3.4 \, \text{g/cm}^3\) and volume \(V = 28,973.47 \, \text{cm}^3\), the mass in grams is:
   \[
   \text{mass} = \rho \times V = 3.4 \, \text{g/cm}^3 \times 28,973.47 \, \text{cm}^3 = 98,509.79 \, \text{g}
   \]

4. **Convert mass to kilograms**:
   Since \(1 \, \text{kg} = 1000 \, \text{g}\):
   \[
   \text{mass} = \frac{98,509.79}{1000} = 98.51 \, \text{kg}
   \]

### Final Answer:
The mass of the spherical object is approximately **98.51 kg**.

Would you like further details on any step, or do you have any other questions?

### Related Questions:
1. How would the mass change if the density were increased to 5 g/cm³?
2. What is the volume of the sphere in cubic meters?
3. How would you calculate the weight of this object on Earth?
4. If the diameter were doubled, how would the mass change?
5. How do you convert cubic centimeters to liters for volume?

### Tip:
Always ensure the units are consistent throughout your calculations, especially when working with different unit systems like inches and centimeters.

Find the mass in kilograms of a spherical object whose diameter is 15 inches and density is 3.4 g/cm³. [Hint: density = mass/volume]

Learn how to calculate the mass in kilograms of a spherical object with a diameter of 15 inches and a density of 3.4 g/cm³. This problem covers unit conversion from inches to centimeters, sphere volume calculation, and applying the density formula. Suitable for high school students in Grades 9-12.

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