The diameter, D, of a sphere is 9.6mm. Calculate the sphere's volume, V.Use the value 3.14 for π, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Question
The diameter, D, of a sphere is 9.6mm. Calculate the sphere's volume, V.Use the value 3.14 for π, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Solution
To calculate the volume of a sphere, we use the formula:
V = 4/3 * π * r³
Where:
- V is the volume
- π is a constant (approximately 3.14)
- r is the radius of the sphere
Given that the diameter D of the sphere is 9.6mm, the radius r is half of the diameter, so r = D/2 = 9.6mm / 2 = 4.8mm.
Substituting the values into the formula, we get:
V = 4/3 * 3.14 * (4.8mm)³
V = 4/3 * 3.14 * 110.592mm³
V = 461.8144mm³
Rounding to the nearest tenth, the volume V of the sphere is approximately 461.8mm³.
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