In a factory, 2 identical solid metal right circular cones of base radius h cm are melted and recast into 8 area base smaller identical solid right circular cones of base radius k cm and height 8 cm. it is given than the base area of a large circular cone is 4 times that of a small one.
(a) find h: k.
(b)find the height of the large circular cone.
(c) stephanie claims that a small circular eone is similar to a larger circular cone. do you agree? explain your answer.

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step-by-step explanation:

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y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)