Lmtaylor902 Lmtaylor902
  • 22-05-2021
  • Mathematics
contestada

A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?

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sreedevi102
sreedevi102 sreedevi102
  • 22-05-2021

Answer:

[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]

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ferrybukantoro
ferrybukantoro ferrybukantoro
  • 22-05-2021

Answer:

1.24 ft

Step-by-step explanation:

the volume of sphere = 4/3π.r³ = 1

=> r³ = 3/(4π)= 3/(12.56) = 0.239

r = ³√0.239

r = 0.62

d = 2×0.62 = 1.24 ft

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