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-Hint: height of the small bucket is 15        ( I already calculated it properly, don't double check)
The question is: 
b) given that the small bucket has a volume of 850 cm^3, find the volume of the large bucket 
I tried solving it, and I got the final answer 6816 cm^3, is that right or not? thx in advance

 Jun 4, 2021
 #1
avatar+2193 
0

The deminsions are 2 times the smaller bucket. 

Volume is 3 deminsions, so 850 * 2 * 2.

 

=^._.^=

 Jun 4, 2021
 #5
avatar+2193 
+1

Oops, I forgot to multiply a 2. 

850 * 2 * 2 * 2

 

=^._.^=

catmg  Jun 4, 2021
 #2
avatar+34315 
+2

small bucket

   pi r^2 h = 850 cm^3

 

now make dimensions larger

   pi ( 2r)^2 2h  = ?

      (8)  pi r^2 h  = larger bucket

       (8) (850) = 6800 cm3

 Jun 4, 2021
 #3
avatar
0

why did you assume it's a cylinder? 
now im confused cuz we 3 got different answers.

Guest Jun 4, 2021
 #4
avatar+34315 
+1

I think you will have to be given more information if you assume it is a conic section or other....

 

     but volume is basically a   3 dimensional  construct    l x w x h     or     area x h

            you increased the base area x4     and you increased the height by a factor of two

                        4 x 2 =   8 times the original volume        (without assuming a cylinder)

ElectricPavlov  Jun 4, 2021
 #6
avatar+121054 
+1

We  have similar  3D figures

 

The scale factor of the large  bucket to  the smaller =  2

 

Volume of larger bucket  =   

 

Volume of smaller bucket  *  (scale factor  )^ 3  = 

 

850  (2)^3   =   

 

6800  cm^3     (as EP found)

 

                                                                                                    

 

                                                                                                             

cool cool cool

 Jun 4, 2021

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