A sphere and a cube have the same surface area .
show that the ratio of the volumes of the sphere to
that of the cube is √6 : √π.
nikki25:
cant i get the answer
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let side of cube be x and radius of sphere be r
therefore,are SAof cube=SA of sphere
6x^2=4πr^2
3x^2=2πr^2
x=√2π/√3
volume of sphere /volume of cube
(4/3×πr^3)/x^3
(4/3π×r^3)/(√2πr/√3)^3
√6/√π
therefore,are SAof cube=SA of sphere
6x^2=4πr^2
3x^2=2πr^2
x=√2π/√3
volume of sphere /volume of cube
(4/3×πr^3)/x^3
(4/3π×r^3)/(√2πr/√3)^3
√6/√π
good
thanks
ty for ans
plz explain the last line
plz explain this qstn.....i really not understand
in last line we are putting the value of x in terms of r and π
manny things cancels and the end result is obtained
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