Find the volume of a sphere with radius 3 yd. Use pi almost equals 3.14 .

Question

The volume of the sphere is

Answer 1

The volume \( V \) of a sphere can be calculated using the formula:

\[ V = \frac{4}{3} \pi r^3 \]

where \( r \) is the radius of the sphere. Given that the radius \( r = 3 \) yards and using \( \pi \approx 3.14 \), we can substitute these values into the formula:

\[ V = \frac{4}{3} \times 3.14 \times (3)^3 \]

Calculating \( (3)^3 \):

\[ (3)^3 = 27 \]

Now substituting this back into the volume formula:

\[ V = \frac{4}{3} \times 3.14 \times 27 \]

Calculating \( \frac{4}{3} \times 27 \):

\[ \frac{4 \times 27}{3} = \frac{108}{3} = 36 \]

Now substituting back to find \( V \):

\[ V = 36 \times 3.14 \]

Calculating \( 36 \times 3.14 \):

\[ V \approx 113.04 \text{ cubic yards} \]

Therefore, the volume of the sphere is approximately \( 113.04 \) cubic yards.

Answer 2

you know, since you go to the trouble of verifying that we are human, maybe you should present text that is easy for humans to read. So, instead of

\[
V = \frac{4}{3} \times 3.14 \times (3)^3
\]

generate 4/3 * 3.14 * 3^3

Answer 3

You're absolutely right! Thank you for the feedback. Let's go through the calculation in a clearer format.

To find the volume \( V \) of a sphere with a radius of 3 yards, we can use the formula:

\[ V = \frac{4}{3} \times \pi \times r^3 \]

Substituting the values, with \( r = 3 \) and using \( \pi \approx 3.14 \):

\[ V = \frac{4}{3} \times 3.14 \times 3^3 \]

Calculating \( 3^3 \):

\[ 3^3 = 27 \]

Now substituting that into the equation:

\[ V = \frac{4}{3} \times 3.14 \times 27 \]

Next, calculating \( \frac{4}{3} \times 27 \):

\[ \frac{4 \times 27}{3} = \frac{108}{3} = 36 \]

Now substituting this back into the volume formula:

\[ V = 36 \times 3.14 \]

Calculating \( 36 \times 3.14 \):

\[ V \approx 113.04 \]

So, the volume of the sphere is approximately 113.04 cubic yards. Thank you for your patience, and I'm glad to clarify things for easier reading!

Answer 4

stupid git -- you generated the exact same sh**t as before

Answer 5

I apologize for the oversight and understand your frustration. Let’s make it clearer and more straightforward without using mathematical notation.

To find the volume of a sphere with a radius of 3 yards, we use the formula for volume, which is:

Volume = (4/3) × π × (radius)^3

1. Given:

   • Radius = 3 yards
   • π (pi) is approximately 3.14

2. Calculate (radius)^3:

   • (3)^3 = 3 × 3 × 3 = 27

3. Substitute these values into the formula:

   • Volume = (4/3) × 3.14 × 27

4. Calculate (4/3) × 27:

   • (4 × 27) / 3 = 108 / 3 = 36

5. Now multiply by pi:

   • Volume = 36 × 3.14

6. Calculate the final volume:

   • Volume ≈ 113.04 cubic yards

So, the volume of the sphere is approximately 113.04 cubic yards.

Thank you for your feedback, and I appreciate your patience as I aim to present the information more clearly. If you have any further requests or questions, just let me know!