The ratio of the heights of two right cones is 3:2 and that of their radii of the base is 2:3. Find the ratio of their volumes.
Ans.=2:3
Answers
Answered by
10
volume of a right cone pi r^2*h/3
let their heights 3x and 2x
and their radii 2y and 3y
so their volume pi*(2y)^2*3x/3 and pi*(3y)^2*2x/3
implies 4xy^2*pi and 6xy^2pi
so ratio will be 4:6= 2:3
let their heights 3x and 2x
and their radii 2y and 3y
so their volume pi*(2y)^2*3x/3 and pi*(3y)^2*2x/3
implies 4xy^2*pi and 6xy^2pi
so ratio will be 4:6= 2:3
Similar questions