Question
Using the volume of the sphere: V =(4/3)πr³
If the RADIUS of the MSG square is 258 feet,
The volume of thee MSG Sphere is ______ cubic feet.
Type the volume using commas to separate periods and round to the nearest whole number
If the RADIUS of the MSG square is 258 feet,
The volume of thee MSG Sphere is ______ cubic feet.
Type the volume using commas to separate periods and round to the nearest whole number
Answers
GPT-4o mini
To find the volume of the MSG Sphere, we first need to use the given radius. You mentioned that the radius is 258 feet. The formula for the volume of a sphere is:
\[ V = \frac{4}{3} \pi r^3 \]
Substituting the radius \( r = 258 \) feet into the formula:
\[ V = \frac{4}{3} \pi (258)^3 \]
Calculating \( 258^3 \):
\[ 258^3 = 258 \times 258 \times 258 = 17,129,352 \]
Now substituting this value back into the volume formula:
\[ V = \frac{4}{3} \pi (17,129,352) \]
Calculating \( \frac{4}{3} \) of \( 17,129,352 \):
\[ \frac{4}{3} \times 17,129,352 \approx 22,838,846.67 \]
Now, multiplying by \( \pi \) (using \( \pi \approx 3.14159 \)):
\[ V \approx 22,838,846.67 \times 3.14159 \approx 71,745,075.22 \]
Rounding to the nearest whole number, we get:
\[ V \approx 71,745,075 \]
So, the volume of the MSG Sphere is **71,745,075** cubic feet.
\[ V = \frac{4}{3} \pi r^3 \]
Substituting the radius \( r = 258 \) feet into the formula:
\[ V = \frac{4}{3} \pi (258)^3 \]
Calculating \( 258^3 \):
\[ 258^3 = 258 \times 258 \times 258 = 17,129,352 \]
Now substituting this value back into the volume formula:
\[ V = \frac{4}{3} \pi (17,129,352) \]
Calculating \( \frac{4}{3} \) of \( 17,129,352 \):
\[ \frac{4}{3} \times 17,129,352 \approx 22,838,846.67 \]
Now, multiplying by \( \pi \) (using \( \pi \approx 3.14159 \)):
\[ V \approx 22,838,846.67 \times 3.14159 \approx 71,745,075.22 \]
Rounding to the nearest whole number, we get:
\[ V \approx 71,745,075 \]
So, the volume of the MSG Sphere is **71,745,075** cubic feet.