急!!!!!!!!!!f3.math

Recall the properties of two similar solids:

1. ratio of volumes = (ratio of corresponding lengths)^3
2. ratio of corresponding areas = (ratio of corresponding lengths)^2

(a) (height of smaller cone : 16)^3 = 54 : 128
height of smaller cone = (3/4)x16=12 cm

(b) ratio of base radius of smaller cone to that of larger cone
=ratio of height of smaller cone to that of larger cone
=12 : 16 = 3 : 4

(c) ratio of curved surface area of larer cone to that of smaller cone
= (ratio of height of larger cone to that of smaller cone)^2
= 16 : 9

1.(a)
(volume of small cone:volume of larger cone)=(length of the small cone:length of thelarger cone)^3

Let height of the small cone be h
(54:128)=(h:16)^3
54:128=h^3:16^3
h=(3/4)*16
h=12cm

1.(b)
(ratio of the base radius of the smaller cone to that of the larger cone)=(ratio of the
height ofsmaller cone to that of the larger cone)

12:16
=3:4

1.(c)
(length of the larger cone:length of the small cone)^2=(area of largersmall cone:area of the small cone)

(4:3)^2
=16:9