Question

a cube or sphere are of same height .find the ratio of their volume

Answer 1

hello users .......

we have given that 

cube and sphere are of same height 
that means 
length of side of cube = diameter of sphere = 2 × radius of sphere 

we have to find 
the ratio between their volumes 

solution :-
we know that 
volume of cube = a³   ,( where a is the length of side of cube)
and 
volume of sphere = $\frac{4 \pi r^{3} }{3}$

=> volume of cube = a³ = (2r)³ = 8r³

now the ratio between their volumes 

= $\frac{8 r^{3} }{ \frac{4 \pi r^{3} }{3} }$

= $\frac{24}{4 \pi }$

= $\frac{24 * 7}{4*22}$

=$\frac{168}{88}$

= $\frac{21}{11}$

hence 
the ratio between their volumes is 21:11 answer 

✫✫ hope it helps ✫✫