Question

AREAS AND VOLUMES OF SIMILAR SOLIDS ASSISTANCE?

Answer 1

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

$k=\dfrac{R}{r}=\dfrac{5}{2}$.

The ratio between volumes of similar cones is

$\dfrac{V_{large}}{V_{small}} =k^3$.

Then

$\dfrac{V_{large}}{V_{small}} =(\dfrac{5}{2} )^3 =\dfrac{125}{8}$.

If $V_{large}=131$ cub. cm, then

$\dfrac{131}{V_{small}} =\dfrac{125}{8},\\ V_{small}=\dfrac{131\cdot 8}{125}=8.384\approx 8.4$ cub. cm.

Answer: $V_{small}=8.4$ cub. cm.