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 A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overflow?

 Nov 27, 2018
 #1
avatar+159 
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No. angel

 Nov 27, 2018
 #2
avatar+33661 
+1

Volume of sphere: \(\frac{4}{3}\pi r^3\)    r = 4cm

 

Volume of cone:  \(\frac{1}{3}\pi r^2h\)   r = 3cm   h = 12cm

 

Plug in the numbers to see which is larger.

 Nov 27, 2018

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