the lateral area of two similar solids are 16pie cmsquared and 9pie cmsquared. The volume of the larger solid is 128pie cm cubed. find the volume of the smaller solid please explain

Answer 1

area of similar objects is proportional to the square of their sides

16/9 = 4^2/3^2
so the ratio of their sides is 4:3

the volume of similar objects is proportional to the cube of their sides

4^3/3^3 = 128/x
64/27 = 128/x
64x = 27(128)
x = 27(128)/64 = 54

Answer 2

7.5 ft 37ft