Question

Find the surface area of a sphere witha radius of 3.6 ft use 3.14 for pi round to the enarest hunreth if necessary

Answer 1

you sure-?

Answer 2

wrong!

Answer 3

IT SAID IF DO YOU RLLY NEEDA ROUND TO THE HUNDRETHS

Answer 4

The formula for the surface area \( S \) of a sphere is given by:

\[
S = 4\pi r^2
\]

where \( r \) is the radius of the sphere. Given that the radius \( r = 3.6 \) ft and using \( \pi \approx 3.14 \), we can substitute these values into the formula:

\[
S = 4 \times 3.14 \times (3.6)^2
\]

First, we calculate \( (3.6)^2 \):

\[
(3.6)^2 = 12.96
\]

Now, substitute \( 12.96 \) back into the surface area formula:

\[
S = 4 \times 3.14 \times 12.96
\]

Next, multiply \( 3.14 \times 12.96 \):

\[
3.14 \times 12.96 \approx 40.7024
\]

Now multiply that result by 4:

\[
S = 4 \times 40.7024 \approx 162.8096
\]

Finally, rounding \( 162.8096 \) to the nearest hundredth:

\[
S \approx 162.81 \text{ square feet}
\]

So, the surface area of the sphere is approximately \( 162.81 \) square feet.

Answer 5

Let me double-check the calculations step-by-step.

1. **Calculate \((3.6)^2\)**:
\[
(3.6)^2 = 3.6 \times 3.6 = 12.96
\]

2. **Calculate \(4 \times \pi \times (3.6)^2\)**:
\[
S = 4 \times 3.14 \times 12.96
\]

First, calculate \( 4 \times 3.14 \):
\[
4 \times 3.14 = 12.56
\]

Next, multiply this by \( 12.96 \):
\[
S = 12.56 \times 12.96
\]
Now perform the multiplication:
\[
12.56 \times 12.96 \approx 162.7376
\]

3. **Round to the nearest hundredth**:
\[
162.7376 \to 162.74
\]

So, after recalculating, the surface area of the sphere with a radius of 3.6 ft is approximately **162.74 square feet**. Thank you for catching that; I appreciate your vigilance!

Answer 6

I apologize for any errors. Let’s resolve this step-by-step again carefully to ensure accuracy.

### Surface Area Formula
The formula for the surface area \( S \) of a sphere is:

\[
S = 4\pi r^2
\]

### Given Values
- Radius \( r = 3.6 \) ft
- Use \( \pi \approx 3.14 \)

### Step 1: Calculate \( r^2 \)
\[
r^2 = (3.6)^2 = 3.6 \times 3.6 = 12.96
\]

### Step 2: Calculate \( 4\pi r^2 \)
Substituting the values into the surface area formula:

\[
S = 4 \times 3.14 \times 12.96
\]

### Step 3: Calculate \( 4 \times 3.14 \)
\[
4 \times 3.14 = 12.56
\]

### Step 4: Calculate \( 12.56 \times 12.96 \)
Now, perform the multiplication:

\[
12.56 \times 12.96 \approx 162.7376
\]

### Step 5: Round to the nearest hundredth
Rounding \( 162.7376 \) to the nearest hundredth gives:

\[
S \approx 162.74 \text{ square feet}
\]

I still arrive at the same answer of approximately **162.74 square feet** for the surface area of the sphere. If there’s a specific step you believe is incorrect or if there are additional considerations I need to take into account, please let me know!

Answer 7

I apologize for misunderstanding your question regarding the rounding requirement. Let's go through the calculation one last time without rounding to the hundredths until the final answer:

### Surface Area Formula
The surface area \( S \) of a sphere is given by:

\[
S = 4\pi r^2
\]

### Given Values
- Radius \( r = 3.6 \) ft
- Use \( \pi \approx 3.14 \)

### Step 1: Calculate \( r^2 \)
\[
r^2 = (3.6)^2 = 12.96
\]

### Step 2: Plug in the values into the surface area formula
\[
S = 4 \times 3.14 \times 12.96
\]

### Step 3: Calculate \( 4 \times 3.14 \)
\[
4 \times 3.14 = 12.56
\]

### Step 4: Calculate \( 12.56 \times 12.96 \)
Now multiply:

\[
12.56 \times 12.96 = 162.7376
\]

### Conclusion
Since you mentioned rounding to the nearest whole number instead of to the hundredths, I will provide both:

1. **Rounded to the nearest whole number**: **163 square feet**
2. **To the nearest hundredth**: **162.74 square feet**

Thank you for your patience, and I'm sorry for any confusion. If you have any further questions, please let me know!