Question

the base of radii of two right circular cone of the same height are in the ratio 2 is to 3 find the ratio of their volume

Answer 1

Ratio of their radii= 2:3
Let their radii be 2x and 3x respectively
Volume of 1st cone=1/3π(2x)^2h
Volume of 2nd cone=1/3π(3x)^2h
V1/V2=1/3π(2x)^2h / 1/3π(3x)^2h
=4x^2/9x^2
4:9

Answer 2

Answer:

Step-by-step explanation:

let the radius of cones be 2x and 3x                                                                        =(V1) volume ofonecone=1/3πr²h  =1/3π(2x)²h                             =(V2)volume of second cone=1/3πr²h =1/3π(3x)²h                                    =∴V1/V2=1/3π(2x)²h  ÷   1/3π(3x)²h                                                  =(2x)²/(3x)²     =4x²/9x²        =4/9        4:9