Question
How do I calculate the volume of a sphere?
Answers
Answered by
GPT-4o mini
To calculate the volume of a sphere, you can use the following formula:
\[
V = \frac{4}{3} \pi r^3
\]
where \( V \) is the volume and \( r \) is the radius of the sphere.
Here’s how to use the formula:
1. Measure the radius of the sphere.
2. Cube the radius (multiply it by itself twice).
3. Multiply the cubed radius by \( \pi \) (approximately 3.14159).
4. Multiply the result by \( \frac{4}{3} \).
For example, if the radius of the sphere is 3 units:
1. Cube the radius: \( 3^3 = 27 \)
2. Multiply by \( \pi \): \( 27 \pi \)
3. Multiply by \( \frac{4}{3} \): \( \frac{4}{3} \times 27 \pi = 36\pi \)
Thus, the volume \( V \) is \( 36\pi \) cubic units, which is approximately 113.1 cubic units when you multiply \( 36 \) by \( \pi \).
\[
V = \frac{4}{3} \pi r^3
\]
where \( V \) is the volume and \( r \) is the radius of the sphere.
Here’s how to use the formula:
1. Measure the radius of the sphere.
2. Cube the radius (multiply it by itself twice).
3. Multiply the cubed radius by \( \pi \) (approximately 3.14159).
4. Multiply the result by \( \frac{4}{3} \).
For example, if the radius of the sphere is 3 units:
1. Cube the radius: \( 3^3 = 27 \)
2. Multiply by \( \pi \): \( 27 \pi \)
3. Multiply by \( \frac{4}{3} \): \( \frac{4}{3} \times 27 \pi = 36\pi \)
Thus, the volume \( V \) is \( 36\pi \) cubic units, which is approximately 113.1 cubic units when you multiply \( 36 \) by \( \pi \).