Question

Then the volume of the MSG Sphere is ______ cubic feet.
Type the volume using commas to separate periods and round to the nearest whole number
USE 3.14 FOR PIE
4/3 x 3.14 USE 4.2

Answer 1

To calculate the volume of a sphere, the formula is:

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

Where:
- \( V \) is the volume
- \( r \) is the radius of the sphere
- \( \pi \) is approximately 3.14

Since you mentioned using "4.2" instead of the volume factor for π, I will use the known value of π:

- Let's assume the radius \( r \) of the MSG Sphere is known. I'll just demonstrate the calculation in terms of the radius.

The volume calculation becomes:

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

As an example, let's assume the radius \( r \) is, say, 100 feet. The calculation would look like this:

1. Calculate \( r^3 \)

\[
r^3 = 100^3 = 1,000,000
\]

2. Plug in this value into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 1,000,000
\]

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

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

4. Now multiply by \( 1,000,000 \):

\[
V \approx 4.1867 \times 1,000,000 \approx 4,186,700
\]

5. Rounding to the nearest whole number, you get:

\[
4,186,700 \text{ cubic feet}
\]

Therefore, if the radius were 100 feet, the volume would be approximately 4,186,700 cubic feet.

You would replace the assumed radius with the actual radius of the MSG Sphere if it is known to calculate the exact volume.