Areas and Volumes of Similar Solids These cones are similar

Areas and Volumes of Similar Solids These cones are similar. Find the surface area of the smaller cone. Round to the nearest tenth. Surface Areas [ ? ] cm2 Surface Area = 75 cm2

Solution

The lateral surface area of similar cones are in the ratio of their radii.

So, l.area of cone 1 / l.area of cone 2 = r1/r2

L.Area of cone 1/ 75 = 2/3

Lateral area of cone 1 = 75*2/3 = 50cm2

Answer is 50cm2