Question

How much chocolate is in a sphereical ball witha radius of 12 mm use 3.14 as an aproximation of pi round your answer to the enarest hundreth if necessary

Answer 1

wrong

Answer 2

you sure-?

Answer 3

To find the volume of a spherical ball, we can use the formula for the volume of a sphere:

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

where \( V \) is the volume, \( \pi \) is approximately 3.14, and \( r \) is the radius.

Given that the radius \( r \) is 12 mm, we first calculate \( r^3 \):

\[
r^3 = 12^3 = 12 \times 12 \times 12 = 1728 \text{ mm}^3
\]

Now, substituting \( r^3 \) and \( \pi \) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 1728
\]

Calculating the volume step by step:

1. Calculate \( \frac{4}{3} \times 3.14 \):

\[
\frac{4}{3} \times 3.14 \approx 4.1867
\]

2. Now multiply this result by 1728:

\[
V \approx 4.1867 \times 1728 \approx 7223.10656 \text{ mm}^3
\]

Finally, rounding to the nearest hundredth:

\[
V \approx 7223.11 \text{ mm}^3
\]

So, the volume of the spherical ball is approximately **7223.11 mm³**.

Answer 4

Let’s go through the calculation again step by step, carefully.

We want to find the volume \( V \) of a sphere with a radius \( r = 12 \) mm using the volume formula:

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

Using \( \pi \approx 3.14 \):

1. **Calculate \( r^3 \)**:
\[
r = 12 \text{ mm}
\]
\[
r^3 = 12^3 = 12 \times 12 \times 12 = 1728 \text{ mm}^3
\]

2. **Substituting \( r^3 \) into the volume formula**:
\[
V = \frac{4}{3} \times 3.14 \times 1728
\]

3. **Calculate \( \frac{4}{3} \times 3.14 \)**:
\[
\frac{4}{3} \times 3.14 \approx 4.1887
\]

4. **Now multiply this result by 1728**:
\[
V \approx 4.1887 \times 1728
\]
\[
V \approx 7224.79 \text{ mm}^3
\]

So, rounding to the nearest hundredth, the volume of the spherical ball is approximately **7224.79 mm³**.

Thank you for your patience, and I appreciate the opportunity to correct the calculations!

Answer 5

Let's double-check the calculations once more to ensure accuracy.

### Volume of a Sphere Formula
The formula for the volume \( V \) of a sphere is:

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

### Given:
- Radius \( r = 12 \) mm
- \( \pi \approx 3.14 \)

### Step 1: Calculate \( r^3 \)
\[
r^3 = 12^3 = 12 \times 12 \times 12 = 1728 \text{ mm}^3
\]

### Step 2: Substitute the value of \( r^3 \) into the volume formula
\[
V = \frac{4}{3} \times 3.14 \times 1728
\]

### Step 3: Calculate \( \frac{4}{3} \times 3.14 \)
\[
\frac{4}{3} \times 3.14 \approx 4.18667
\]

### Step 4: Multiply by \( 1728 \)
Now multiply this result by \( 1728 \):

\[
V \approx 4.18667 \times 1728
\]

Calculating this gives:
\[
4.18667 \times 1728 \approx 7223.99936
\]

### Final Step: Rounding
Rounding to the nearest hundredth:
\[
V \approx 7224.00 \text{ mm}^3
\]

So, the correct volume of the spherical ball with a radius of 12 mm is approximately **7224.00 mm³**.

Thank you for your patience, and I'm glad to clarify the calculations!