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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

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

Cwayneuidn

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

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