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Cone S and cone T are similar. The volume of cone S is 768 768pi cm3 cm3 and the
volume of cone T is 6144 6144pi cm3 cm3. What is the height of cone S if the height
of cone Tis 24 cm?
24 cm
cone S
cone T

Respuesta :

retirEEd

Step-by-step explanation:

  This is a ratio problem

  Vol cone = 1/3 π r² h

Cone S is 768pi cm3

Cone T is 6144pi cm3

Cone S and cone T are similar I think this means they have the same radius

      Vol cone S  =  1/3 π r² hs    Vol cone T  =  1/3 π r² ht

     Vol  Cone S /  Vol Cone T    =    1/3 π r² hs / 1/3 π r² ht

    Vol  Cone S /  Vol Cone T    =     hs /  ht                                  

               768 / 6144   =  hs / 24       (note the π cancelled out

               h cone s = 768(24) / 6144

               h cone s =   3 cm

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