Question

If the RADIUS of the MSG square is 258 feet,
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

Answer 1

To calculate the volume of the MSG Sphere, we start with the formula for the volume of a sphere:

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

where \( V \) is the volume and \( r \) is the radius.

Given that the radius \( r \) is 258 feet, we can plug that value into the formula:

\[
V = \frac{4}{3} \pi (258)^3
\]

Now, we first calculate \( (258)^3 \):

\[
(258)^3 = 258 \times 258 \times 258 = 17,193,192
\]

Next, we use the value of \( \pi \) (approximately 3.14159265359):

\[
V = \frac{4}{3} \times 3.14159265359 \times 17,193,192
\]

Calculating this step-by-step:

1. Calculate \( \frac{4}{3} \):
\[
\frac{4}{3} = 1.33333333333
\]

2. Multiply:
\[
1.33333333333 \times 3.14159265359 \approx 4.18879020479
\]

3. Finally, multiply by \( 17,193,192 \):
\[
V \approx 4.18879020479 \times 17,193,192 \approx 71,273,473.65
\]

Now we round this to the nearest whole number:

\[
V \approx 71,273,474
\]

Thus, the volume of the MSG Sphere is approximately **71,273,474 cubic feet**.