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

The volume of the sphere is

5 answers

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.

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

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!

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

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!