If a sphere’s volume is doubled, what is the corresponding change in its radius?
A.
The radius is increased to 2004-06-01-05-00_files/i0280000.jpg times the original size.
B.
The radius is increased to 4 times the original size.
C.
The radius is increased to 2 times the original size.
D.
The radius is increased to 8 times the original size.

Question

If a sphere’s volume is doubled, what is the corresponding change in its radius? 
A.
The radius is increased to 2004-06-01-05-00_files/i0280000.jpg times the original size.
B.
The radius is increased to 4 times the original size.
C.
The radius is increased to 2 times the original size.
D.
The radius is increased to 8 times the original size.

jhonyy9 · Answer

do you know formula for a sphere's volume ?

jhonyy9 · Answer

asker is offline

jhonyy9 · Answer

@ThisGirlPretty

sillybilly123 · Answer

$V =\dfrac{4}{3} \pi r^3$

$V' =\dfrac{4}{3} \pi r'^3 $

$\dfrac{V'}{V}  = \dfrac{\dfrac{4}{3} \pi r'^3}{\dfrac{4}{3} \pi r^3} =  \left(\dfrac{  r'}{  r}\right)^3 = 2$

$\dfrac{  r'}{  r} = 2^{\frac{1}{3}}$

sillybilly123 · Answer

@jhonyy9 is a troll

in case you haven't worked that out

;)

jhonyy9 · Answer

@sillybilly123 r' = 2r

yes ?

sillybilly123 · Answer

good luck QC !!

jhonyy9 · Answer

@ThisGirlPretty  do you understand @sillybilly123"s work ?

Vocaloid · Answer

the missing value provided in the question is $$\sqrt[3]{2}$$