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avatar+126 

This one seemed easy at first but I dont think it's worked out how I think it is

 

I did 10 divided by 5 then squared the answer

then multiplied 18 by the squared answer to find the second area

then took my first answer and cubed it but then i got stuck since neither of the volumes are given

 Oct 4, 2018
 #1
avatar+18439 
+3

First find the Radius of smaller cylinder:

pi r^2 = area

r = sqrt( area/pi)

r = sqrt(18/pi) = 2.39365 cm

 

Now calculate the radius of the larger cylinder (using ratios of similarity)

10/5 (r) = 4.787 cm

 

Volume = area x height

               pi (4.787^2)(10) = 720 cm^3

 Oct 4, 2018
 #2
avatar+101788 
+2

The scale factor  of   B : A   = 2 : 1     = 2

 

Therefore...the area of the cross-section of "B'  is  Cross-Section of A * scale factor^2 =  

 

18 * 2^2  =  18 * 4  = 72

 

Therefore....the volume of  B  =  cross-section area  of B  * height of B  =   72 * 10   =  720 cm^3

 

 

cool cool cool

 Oct 4, 2018

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