The radius, R, of a sphere is 7.1cm. 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 radius, R, of a sphere is 7.1cm. 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
The volume V of a sphere can be calculated using the formula:
V = 4/3 * π * R³
Given that R = 7.1 cm and π = 3.14, we can substitute these values into the formula:
V = 4/3 * 3.14 * (7.1)³
First, calculate the cube of the radius (7.1 * 7.1 * 7.1):
R³ = 357.911
Then, multiply this by π and 4/3:
V = 4/3 * 3.14 * 357.911 = 1500.0536
Finally, round this to the nearest tenth to get:
V ≈ 1500.1 cm³
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