Question

Will someone please help me finish this problem: The solid is similar to a larger solid with the given scale factor, find the surface area and volume of the larger solid.cone: scale factor 3:4, SA=96pi cm^2, V=96pi cm^3

Answer 1

so i have 96pi as the surface area and volume.. the new scale factor for sa is- 9/16 and for volume 27/64

Answer 2

then what do i do to finish it

Answer 3

Since you have your scale factors, your new Vol = <Old Volume> * <Volume Scaling factor>, and the same with S.A.

Answer 4

so sa=96pi^2 and v=96pi^3

Answer 5

SA = 96 pi^2 *(9/16)=54 pi^2 ;
V = 96pi^2*(27/64) = (81/2) pi^2

Answer 6

SA = 96*(16/9)
V= 96*(64/27)

Answer 7

No, you cannot apply the scaling factor directly to area/volume because they don't change linearly with dimensions.