7. A sphere has a volume of 361 in. Find theradius of the sphere.
1 answer:
Answer:
r = 4.417
Step-by-step explanation:
in order to calculate the radius of a sphere
given that
volume of sphere = 361
π = 3.14
radius = ?
recall that the volume of a sphere = 4/3 πr³
361 = 4 /3 × 3.14 × r³
361 = 12.56r³/3
cross multiply
361 × 3 = 12.56r³
1083 = 12.56r³
divide both sides by 12.56
1083/12.56 = 12.56r³/12.56
86.226 = r³
find the cubic root of both sides
r = ∛86.226
r = 4.417
therefore the radius of the sphere is evaluated to be 4.417
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