Question
The Las Vegas Sphere, officially known as the MSG Sphere, is a state-of-the-art entertainment venue that opened in 2023. Located near The Venetian Resort, it stands 366 feet tall with a diameter of 516 feet, making it the world's largest spherical structure. The exterior is covered in 1.2 million LED pucks, creating a dynamic, immersive display. Inside, it features a 160,000-square-foot 16K resolution wraparound screen and a 164,000-speaker audio system. Construction began in 2018, costing approximately $2.3 billion. The Sphere is designed to revolutionize live entertainment, offering unique sensory experiences through advanced sound and visual technologies.
Calculate the volume of the MSG Sphere use 3.14 for pi and round answers to the nearest tenth
The formula for the volume of a sphere is: V = (4/3)πг²
The radius of the MSG Sphere is 258 feet
(Put in the length and the unit in the boxes)
The volume of thee MSG Sphere is *blank* cubic feet or ft³
(Type in the volume using commas to separate periods and round to the nearest whole number.)
Make sure no one can find this
Calculate the volume of the MSG Sphere use 3.14 for pi and round answers to the nearest tenth
The formula for the volume of a sphere is: V = (4/3)πг²
The radius of the MSG Sphere is 258 feet
(Put in the length and the unit in the boxes)
The volume of thee MSG Sphere is *blank* cubic feet or ft³
(Type in the volume using commas to separate periods and round to the nearest whole number.)
Make sure no one can find this
Answers
GPT-4o mini
To calculate the volume of the MSG Sphere, we will use the formula for volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
Given the following:
- \( \pi \approx 3.14 \)
- Radius (\( r \)) = 258 feet
Now substituting the values into the formula:
1. Calculate \( r^3 \):
\[ r^3 = 258^3 = 258 \times 258 \times 258 = 17,198,832 \text{ cubic feet} \]
2. Now plug into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 17,198,832 \]
Calculating step-by-step:
1. Calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.18667 \]
2. Now calculate:
\[ V \approx 4.18667 \times 17,198,832 \approx 71,963,516.5 \text{ cubic feet} \]
Rounding to the nearest whole number gives:
\[ V \approx 71,963,517 \text{ cubic feet} \]
Thus, the volume of the MSG Sphere is **71,963,517 cubic feet or ft³**.
\[ V = \frac{4}{3} \pi r^3 \]
Given the following:
- \( \pi \approx 3.14 \)
- Radius (\( r \)) = 258 feet
Now substituting the values into the formula:
1. Calculate \( r^3 \):
\[ r^3 = 258^3 = 258 \times 258 \times 258 = 17,198,832 \text{ cubic feet} \]
2. Now plug into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 17,198,832 \]
Calculating step-by-step:
1. Calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.18667 \]
2. Now calculate:
\[ V \approx 4.18667 \times 17,198,832 \approx 71,963,516.5 \text{ cubic feet} \]
Rounding to the nearest whole number gives:
\[ V \approx 71,963,517 \text{ cubic feet} \]
Thus, the volume of the MSG Sphere is **71,963,517 cubic feet or ft³**.