Given 2 balls with radii 8 and 4, how many times is the surface area of the larger ball

Given 2 balls with radii 8 and 4, how many times is the surface area of the larger ball greater than the surface area of the smaller one?

Decision:

To solve this problem, you need to know the formula for finding the surface area of a ball:

S = 4 * P * R ^ 2, where R is the radius of the ball.

Let’s calculate the surface area of a small ball:

S = 4 * 3.14 * 4 ^ 2 = 200.96.

Let’s calculate the surface area of a large ball:

S = 4 * 3.14 * 8 ^ 2 = 803.84.

Let us find how many times the surface area of the large ball is greater than the surface area of the small ball:

803.84 / 200.96 = 4.

Answer: The surface area of the large ball is 4 times the surface area of the small ball.