The radius, , of a sphere is 8.9 Calculate the sphere's volume, . Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Question
The radius, , of a sphere is 8.9 Calculate the sphere's volume, . Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Solution
The volume of a sphere is given by the formula V = 4/3 * π * r³, where r is the radius of the sphere.
Step 1: Substitute the given radius into the formula. The radius r is given as 8.9.
V = 4/3 * π * (8.9)³
Step 2: Calculate the cube of the radius, (8.9)³ = 704.969.
V = 4/3 * π * 704.969
Step 3: Multiply the result by 4/3 * π.
V = 4/3 * 3.14 * 704.969 = 2952.6756 cubic units.
Step 4: Round the result to the nearest tenth.
V ≈ 2952.7 cubic units.
So, the volume of the sphere is approximately 2952.7 cubic units.
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