Question

the ratio of volume of two cones is 2 : 3 . Find ratio of their radii if the height of second cone is double then the height of first cone is ?​

Answer 1

R1/R2=B1/B2=1/2=> R2=2R1…(1)

V1/V2=2/3

H1/H2=?

V1/V2=2/3

=(1/3)*PI*(R1^2)*H1/(1/3)*PI*(R2^2)*H2

=(R1^2)*H1/(R2^2)*H2

=(R1^2)*H1/[(2R1)^2]*H2………..FROM (1)

=(R1^2)*H1/(4R1^2)*H2

=H1/4H2

2/3=H1/4H2

=>8H2=3H1

=>H1/H2=8/3

SO the heights of the cones are in the ratio of 8:3

Answer 2

Answer:

hope it helps you alot dear ♥️