To solve this problem, we are given a sphere with a radius of 17 inches and asked to calculate its volume, using $\pi \approx 3.14$.

The formula for the volume $V$ of a sphere is:

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

Where:

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

Step 1: Plug in the given values

Here, $r = 17$ inches and $\pi \approx 3.14$.

$V = \frac{4}{3} \times 3.14 \times (17)^3$

Step 2: Calculate $(17)^3$

$17^3 = 4913$

Step 3: Substitute this back into the formula

$V = \frac{4}{3} \times 3.14 \times 4913$

Step 4: Multiply the constants

$\frac{4}{3} \times 4913 \approx 6548.67$

$V \approx 3.14 \times 6548.67 \approx 20520.83 \, \text{in}^3$

Final Answer:

The volume of the sphere is approximately 20,520.83 cubic inches, rounded to the nearest hundredth.

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. What is the surface area of the same sphere?
2. How would the volume change if the radius were doubled?
3. What is the formula for the surface area of a sphere?
4. How do you derive the formula for the volume of a sphere?
5. Can you calculate the volume of a hemisphere?

Tip: Always round your final answer as instructed, but keep intermediate values unrounded for accuracy.