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What is the volume of the sphere? Use 3.14 for .
17 in.
The volume is about
(Round to the nearest hundredth as needed.)

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.

What is the volume of the sphere? Use 3.14 for π. The sphere has a radius of 17 inches. Round to the nearest hundredth.

Learn how to calculate the volume of a sphere with a radius of 17 inches. This problem demonstrates the use of the formula V = (4/3)πr^3, using π ≈ 3.14, and rounds the answer to the nearest hundredth. Suitable for students in Grades 9-12.

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