Find the volume of the ball if its surface area is 676пcm ^ 2.

The volume of the ball is calculated as the product of four thirds of the radius in the cube, multiplied by the number Pi:

V = 4/3 * R3 * π.

To do this, you need to find the radius of this ball. To do this, we use the formula for the surface area of a ball, which is equal to four radii squared, multiplied by the number Pi:

S = 4 * R ^ 2 * π.

In this case, you need to divide the surface area by four PIs and take the root of this number:

R ^ 2 = S / 4π;

R = √ (S / 4π);

R ^ 2 = 676 / 12.56 = 53.82 cm2;

R = √53.82 = 7.34 cm.

Now let’s find the volume of the ball:

V = 4/3 * 7.343 * 3.14 = 4/3 * 395.45 * 3.14 = 4966.852 / 3 = 1655.62 cm3.

Answer: the volume of the ball is 1655.62 cm3.