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18 April, 15:56

The volume of a sphere is 36π ft3. What is the radius of the sphere? Use the formula V =

4

3

πr3 to find your answer.

+5
Answers (2)
  1. 18 April, 19:34
    0
    V = (4/3) pir^3

    36pi=v

    36pi = (4/3) pir^3

    divide both sides by pi

    36 = (4/3) r^3

    multiply both sides by 3/4 to clear fraction (4/3 times 3/4=12/12=1)

    108/4=r^3

    27=r^3

    cube root both sides

    3=r

    radius=3ft
  2. 18 April, 19:45
    0
    V=4/3 (πr³) ⇒r=∛ (3V/π4) = (∛3v / 4π)

    r=∛ (3 (36π ft³) / 4π) =

    r = (∛108π ft³ / 4π) = (∛27 ft³) = 3 ft

    Answer: radius=3 ft
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