SOLUTION: 44. The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure. SA= 72 ft^2 SA= 98 ft^2 V= 686 ft^

Algebra ->  Surface-area -> SOLUTION: 44. The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure. SA= 72 ft^2 SA= 98 ft^2 V= 686 ft^      Log On


   

Question 1157035: 44. The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.
SA= 72 ft^2 SA= 98 ft^2 V= 686 ft^3

Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.

First calculate the similarity coefficient as


    k = sqrt%2872%2F98%29.


Then find the volume of the smaller body as  V = k%5E3%2A686.