Question

AREAS AND VOLUMES OF SIMILAR SOLIDS ASSISTANCE?

Answer 1

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

`k=(R)/(r)=(5)/(2)`.

The ratio between volumes of similar cones is

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

Then

`(V_(large))/(V_(small)) =((5)/(2) )^3 =(125)/(8)`.

If
`V_(large)=131` cub. cm, then

`(131)/(V_(small)) =(125)/(8),\\ V_(small)=(131\cdot 8)/(125)=8.384\approx 8.4` cub. cm.

Answer:
`V_(small)=8.4` cub. cm.