AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT?

Question

asked Nov 17, 2019 96.5k views

1 Answer

Conchylicultor · Answer 1 · 2019-11-24T17:04:42+0000

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.