Question

If the heights of two cones are in the ratio 1 : 5 and their diameters are in the ratio 5 : 6, what is the
ratio of their volumes ?

Answer 1

Answer:

5 : 36

Step-by-step explanation:

Radius of first cone  =  5x/2

Height of first cone  =  y

Volume of FIRST cone  =  1/3 * pi * radius * radius * h

                                       =  1/3 * pi * 5x/2 * 5x/2 * y

                                       =  1/3 * pi * 25$x^{2}$y/4

Radius of second cone  =  6x/2  =  3x

Height of second cone  =  5y

Volume of SECOND cone  =  1/3 * pi * radius * radius * height

                                            =  1/3 * pi * 3x * 3x * 5y

                                            =  1/3 * pi * 45$x^{2}$y

RATIO   =   25/4 : 45

             =      5 : 9*4

             =      5 : 36

HOPE IT IS THE CORRECT ANSWER.