Question

The ratio of the lengths of the base radii of a right circular cylinder and a right circular cone is 3 : 4 and the ratio of their volumes is 9:8 find out the ratio of their heights.​

Answer 1

Answer:

Step-by-step explanation:

Given r1/r2 = 3/4 and h1/h2 = 2/3.

Volume of the cylinder/volume of the cone    

     pi * (r1)^2 * (h1)

= -----------------------------

    1/3 * pi * (r2)^2 * (h2)

=  3.14 * (3)^2 * (2)/ 1/3 * (4)^2 * 3

= 3 * 9 * 2/16 * 3

 

= 18/16.

= 9/8.

The ratio of their volume = 9: 8.

Hope this helps!