The volume of a sphere is 523.3 cubic feet. To the nearest foot, what is the radius of the sphere? Use 3.14 for π.
Answers
Answer:
r = 5cm
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Question:
The volume of a sphere is 523.3 cubic feet. To the nearest foot, what is the radius of the sphere? Use 3.14 for π.
Step-by-step explanation:
The volume of a sphere is 523.3
we, need to find the radius of sphere= ?
instead of we can use = 3.14
then volume of sphere is V= 4/3r³
now volume of sphere = radius of sphere
V= 4/3r³= ?
4/3×3.14×r³=523.3
4×3.14×r³=523.3×3
4×3.14×r³=1569.9
12.56×r³=1569.9
r³=1569.9/12.56
r³=124.99203821656
r=∛124.99203821656
r=4.99989384
Verification:
4/3r³=volume of a sphere
4/3×3.14×4.99989384×4.99989384×4.99989384
volume of sphere= 523.2999998010809 (approx)
hence it is proved , radius=4.99989384
radius value also correct
Hope it will helpful to you :)