These right cones are similar.
H = , h =
Volume of large cone =
Volume of small cone =
Volume of large cone =
------------------
Volume of small cone
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OpenStudy (anonymous):
OpenStudy (anonymous):
what 64?
OpenStudy (anonymous):
the volume of large cone
OpenStudy (anonymous):
Big cone:\[h= \sqrt{20^{2}-12^{2}}=16\]\[v=1/3\pi12^{2}(16)=2,412,74cm ^{3}\]
Small cone: let h for the heigh small coin
ratio :3/12=h/16
\[ V= 1/3\pi3^{2}(4)=37.7cm ^{3}\]
vol larg 2.412.74
------- = --------- = 64cm^3
Vo sma 37.7
OpenStudy (anonymous):
u ri
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OpenStudy (anonymous):
ok I try , but I'm slow
OpenStudy (anonymous):
if you not sure than I have to use 9/25 ratio and I think no choice
OpenStudy (anonymous):
small:
V= A base*h
324=9*h
h =324/9
h =36
big:
9/25=36/h
cross and mutip
9h=36*25
h=900/9
h = 100
V larg : 9/25=324/V
cross * 9V=25*324
V = 8.100/9
V = 900
OpenStudy (anonymous):
volum S 324 9
------ = ----- = -----
volum B 900 25
OpenStudy (anonymous):
h 36 9
--- = --- = ----
H 100 25
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