The radius, R, of a sphere is 3.2cm. 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.)=Vcm3
Question
The radius, R, of a sphere is 3.2cm. 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.)=Vcm3
Solution
The volume of a sphere can be calculated using the formula:
V = 4/3 * π * R³
Given that the radius (R) is 3.2 cm and π is approximately 3.14, we can substitute these values into the formula:
V = 4/3 * 3.14 * (3.2)³
First, calculate the cube of the radius (3.2³):
3.2 * 3.2 * 3.2 = 32.768 cm³
Then, multiply this result by 4/3 and π:
V = 4/3 * 3.14 * 32.768 = 137.25866667 cm³
Finally, round this result to the nearest tenth to get the volume of the sphere:
V ≈ 137.3 cm³
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