Three balls with a radius of 3.4.5 cm are fused into one ball. Find the arithmetic mean of the volumes of the three balls.
| April 27, 2021 | education
The volume of the ball is determined by the formula 4/3 πR ^ 3, where R is the radius of the ball
The volume of the first ball is 4/3 * 3 ^ 3 = 4/3 π * 27;
The volume of the second ball is 4/3 * 4 ^ 3 = 4/3 π * 64;
The volume of the third ball is 4/3 * 5 ^ 3 = 4/3 π * 125;
The total volume is 4/3 π * (27 + 64 + 125) = 4/3 π * 216;
The arithmetic mean of the volumes of three balls is 4/3 π * 216/3 = 96 π ≈ 96 * 3.14 = 301.44.
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