Find the volume of the sphere, considering pi equal to 3.14, if its surface has an area of 615.44 dm2.
January 10, 2021 | education
| 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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