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

From the condition we know the surface area of the ball and it is equal to 615.44 dm ^ 2. And we also know that the number n must be taken equal to 3.14. And we need to find the volume of the ball.
Let’s remember the formula for calculating the volume of a ball:
V = 4nR ^ 3/3.
To calculate the volume, we need to know the radius of the circle. Let’s calculate it from the formula for calculating the surface area of a ball:
S = 4nR ^ 2; Let us express the radius from the formula and calculate it:
R = √ (S / 4p) = √ (615.44 / (4 * 3.14)) = √49 = 7 dm.
All that remains is to substitute the values and perform calculations:
V = (4 * 3.14 * 7 ^ 3) / 3 = 4308.08 / 3 = 1436.027 dm ^ 3.

 



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