Similar cones have proportional dimensions:
[tex] k=\dfrac{3}{2} [/tex].
If the surface area of large cone is 75 sq. cm, then
[tex] \dfrac{SA_{large}}{SA_{small}}= k^2,\\ \dfrac{75}{SA_{small}}= (\dfrac{3}{2})^2=\dfrac{9}{4},\\ SA_{small}=\dfrac{75\cdot 4}{9} =33.333\approx 33.3 [/tex] sq. cm.
Answer: 33.3 sq. cm.
