Calculating the Surface Area of a Sphere with Given Volume

To find the surface area of a sphere, we need to know its volume. In this case, the given volume is 179 * 2/3. Let's break down the steps to calculate the surface area of the sphere.

Step 1: Finding the Radius
The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius. We can rearrange the formula to solve for the radius:

r = (3V / (4π))^(1/3)

By substituting the given volume of 179 * 2/3 into the formula, we can calculate the radius.

Step 2: Calculating the Surface Area
The formula for the surface area of a sphere is A = 4πr², where A is the surface area and r is the radius. Once we have the radius, we can substitute it into the formula to find the surface area.

Step 3: Putting it All Together
Let's calculate the surface area using the given volume:

1. Calculate the radius:
- V = 179 * 2/3
- r = (3 * (179 * 2/3) / (4π))^(1/3)

2. Substitute the radius into the surface area formula:
- A = 4π * r²

Final Answer
By following the above steps and performing the necessary calculations, the resulting value will be the surface area of the sphere with the given volume.