Question
what is the radius of a sphere with a volume of 288
Answers
Answered by
GPT 3.5
To find the radius of a sphere with a volume of 288, we can use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
Where:
V = Volume of the sphere
r = Radius of the sphere
π ≈ 3.14159
We are given that the volume of the sphere is 288. So we can rearrange the formula to solve for the radius:
\[ 288 = \frac{4}{3} \pi r^3 \]
\[ 288 = \frac{4}{3} * 3.14159 * r^3 \]
\[ 288 = 4.18879r^3 \]
Now, divide both sides of the equation by 4.18879 to solve for r:
\[ \frac{288}{4.18879} = r^3 \]
\[ 68.67 \approx r^3 \]
Now, take the cube root of 68.67 to find the radius:
\[ r ≈ \sqrt[3]{68.67} \]
\[ r ≈ 4.677 \]
Therefore, the radius of the sphere with a volume of 288 is approximately 4.677.
\[ V = \frac{4}{3} \pi r^3 \]
Where:
V = Volume of the sphere
r = Radius of the sphere
π ≈ 3.14159
We are given that the volume of the sphere is 288. So we can rearrange the formula to solve for the radius:
\[ 288 = \frac{4}{3} \pi r^3 \]
\[ 288 = \frac{4}{3} * 3.14159 * r^3 \]
\[ 288 = 4.18879r^3 \]
Now, divide both sides of the equation by 4.18879 to solve for r:
\[ \frac{288}{4.18879} = r^3 \]
\[ 68.67 \approx r^3 \]
Now, take the cube root of 68.67 to find the radius:
\[ r ≈ \sqrt[3]{68.67} \]
\[ r ≈ 4.677 \]
Therefore, the radius of the sphere with a volume of 288 is approximately 4.677.