The surface area of a sphere = 4πrsqaure
half sphere is 1\2 ×4πrsquare =2πrsquare

CSA of half sphere is 56.57 2πrsqaure
56.57 = 2πr square
56.57 = 2(3.14)r square
r square =9
r=3

volume = 4/3 πrcube
= 4/3(3.14)(3 power cube )
=11304 cm cube

Problem:
A spherical ball is divided into two equal parts. If the curved surface area of each half is 56.57 cm square, find the volume of the spherical ball?

Solution:

To find the volume of the spherical ball, we need to follow these steps:

1. Understand the Problem: We are given that a spherical ball is divided into two equal parts. The curved surface area of each half is 56.57 cm square. We need to determine the volume of the entire spherical ball.

2. Identify the Knowns:
- The curved surface area of each half: 56.57 cm square

3. Identify the Unknown:
- Volume of the spherical ball

4. Formulas:
- Curved Surface Area of a Sphere: C.S.A = 4πr^2
- Volume of a Sphere: V = (4/3)πr^3

5. Derive a Formula:
- As the curved surface area of each half is given, we can find the radius of each half by using the formula for curved surface area.
- Once we have the radius, we can calculate the volume of the entire sphere using the formula for volume.

6. Solution Steps:
a. Let's assume the radius of each half is 'r'.
b. The curved surface area of each half is given as 56.57 cm square.
c. Using the formula for curved surface area of a sphere, we can write:
56.57 = 4πr^2
d. Solving for 'r', we get:
r^2 = 56.57 / (4π)
e. Taking the square root of both sides, we get:
r = √(56.57 / (4π))
f. Now that we have the radius, we can calculate the volume of the entire sphere using the formula for volume of a sphere:
V = (4/3)πr^3
g. Substituting the value of 'r' we obtained earlier, we get:
V = (4/3)π(√(56.57 / (4π)))^3
h. Simplifying this expression, we find the volume of the spherical ball.

7. Final Answer:
The volume of the spherical ball can be calculated using the formula V = (4/3)π(√(56.57 / (4π)))^3.