The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.
Since the volume is given as 91.1 cubic units, we can set up the equation as follows:
91.1 = (4/3)πr³
To find the volume of the sphere, we need to solve for r.
Dividing both sides of the equation by (4/3)π:
r³ = (3/4)(91.1/π)
r³ = 68.325/π
r³ ≈ 21.741
Taking the cube root of both sides:
r ≈ 2.8
Now that we have the radius, we can substitute it back into the formula to find the volume:
V = (4/3)π(2.8)³
V ≈ 4.19π
To find the volume to the nearest tenth, we need to find the value of π:
π ≈ 3.14
Substituting this value back into the equation:
V ≈ 4.19(3.14)
V ≈ 13.149
Therefore, the volume of the sphere is approximately 13.1 cubic units.
None of the given answer choices matches this value, so none of the options A, B, C, or D is correct.
4x Determine the volume of the given sphere. (nearest tenth) A 91.1 cubic units 4x B 286.1 cubic units C 381.5 cubic units X D 401.6 cubic units
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