Data: a – edge of the taken cube (a = √3 units).
To find out the required surface area of the ball in question, we will use the formula: Sх = 4 * Π * R ^ 2 = 4 * Π * (d / 2) 2 = 4 * Π * (a * √3 / 2) ^ 2 = 4 * Π * a ^ 2 * 3/4 = 3 * Π * a ^ 2.
Let’s perform the calculation: Sх = 3 * Π * a ^ 2 = 3 * Π * √3 ^ 2 = 9Π units2 ≈ 28.26 units2.
Answer: The surface area of the ball under consideration is 9Π units2 (28.26 units2).
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.