To find the volume of a sphere, we use the formula:

$V = \frac{4}{3} \pi r^3$

Where:

• $V$ is the volume,
• $\pi$ is approximately 3.14, and
• $r$ is the radius of the sphere.

Given that the radius $r = 7.4 \, \text{cm}$, we can substitute this into the formula:

$V = \frac{4}{3} \times 3.14 \times (7.4)^3$

First, calculate $7.4^3$:

$7.4^3 = 7.4 \times 7.4 \times 7.4 = 405.224$

Now, calculate the volume:

$V = \frac{4}{3} \times 3.14 \times 405.224$ $V = \frac{4}{3} \times 1277.82136$ $V = 1703.7618$

Rounding to the nearest thousandth:

$V \approx 1703.762 \, \text{cm}^3$

So, the volume of the sphere is approximately 1703.762 cm³.

Would you like a detailed breakdown of the steps, or do you have any other questions?

Related Questions:

1. How do you calculate the surface area of a sphere?
2. What is the formula for the volume of a cone?
3. How does the volume of a sphere change if the radius is doubled?
4. How do you convert cubic centimeters to liters?
5. What happens to the volume of a sphere if the radius is reduced by half?

Tip: When working with the volume of a sphere, always remember that the cubic power of the radius significantly impacts the volume, so small changes in the radius lead to large changes in the result.