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The ratio of the volumes of two spheres is 827. What is the ratio of the lengths of the radi of these two spheres?
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The Ratio Of The Volumes Of Two Spheres Is 827 What Is The Ratio Of The Lengths Of The Radi Of These Two Spheres 23 class=

Sagot :

Answer:

2:3

Step-by-step explanation:

r_1^3:r_2^3=8:27

r_1:r_2=2:3

Answer:

2/3

Step-by-step explanation:

solve volume formula for r and then use v1 and v2 from the ratio to find r1 and r2

v = 4/3 Pi r**3

(3/4 v) / Pi = r**3

r = (3v/4Pi)**1/3

Then

r1 = (3*8/4pi)**3

   = (6/Pi)**1/3

   = 1.24

r2 = (3*27/4Pi)**3

   = (81/4Pi)**3

   = (6.45)**3

   = 1.8

Then

r1/r2 = 1.24/1.8 = .6666666 or 2/3