Question

AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT?

Answer 1

Two similar cones have proportional dimensions. Find the ratio between radii of these cones:

`k=(3)/(2)`.

The ratio between volumes of similar cones is

`(V_(large))/(V_(small))=k^3`.

If volume of large cone is 66 cub. cm, then

`(66)/(V_(small))=((3)/(2) )^3=(27)/(8),\\V_(small)=(66\cdot 8)/(27) =19.(5)\approx 19.6`cub. cm.

Answer: 19.6 cub. cm.