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

September 23, 2021 | education

| 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.

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.