Find the volume of the sphere, considering pi equal to 3.14, if its surface has an area of 615.44 dm2.

To solve this problem, you need to find the volume of the ball. To do this, recall the formula for the volume of a ball;

Ball volume formula:

V = 4/3 * P * R ^ 3, where V is the volume of the ball, P is the “PI” number equal to 3.14, R is the radius of the ball;

However, we do not know the radius to find the volume. Find the radius of the ball through its surface area;

Surface area formula:

S = 4 * P * R ^ 2;

From this formula, we find the radius of the ball:

R = √S / 4 * P;

Let’s substitute the data and calculate;

R = √615.44 / 4 * 3.14 = √615.44 / 12.56 = √49 = 7dm.

Let’s find the volume of the ball:

V = 4/3 * 3.14 * 73 = 1436.03 dm3.