Find the volume of the sphere and the area of the sphere if: 1) the radius is 5 cm 2) the diameter is 0.3 dm

The volume of the ball (V) is determined by the formula:

V = 4/3 * n * R ^ 3, where n is a mathematical constant equal to 3.14; R is the radius of the ball.

The area of the sphere (S) is found by the formula:

S = 4nR ^ 2.

1) Given: R = 5 cm.Find V and S.

V = 4/3 * 3.14 * 5 ^ 3 = 4/3 * 3.14 * 125 = 523.33 cm ^ 3;

S = 4 * 3.14 * 5 ^ 2 = 4 * 3.14 * 25 = 314 cm ^ 2.

1) Given: D = 0.3 dm. Find V and S.

Let’s calculate the radius of the ball:

R = D: 2 = 0.3: 2 = 0.15 dm.

V = 4/3 * 3.14 * 0.15 ^ 3 = 4/3 * 3.14 * 0.003375 = 0.01413 dm ^ 3;

S = 4 * 3.14 * 0.15 ^ 2 = 4 * 3.14 * 0.0225 = 0.2826 dm ^ 2.