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If a haystack in the shape of a right circular cone has a base radius of 5 meters and contains 12 tons of hay, what will be the number of tons of hay in a similar conical haystack whose base diameter is 18 meters? Two right cones are similar if their heights and their base radii are in proportion. Express your answer as a decimal to the nearest tenth.

 May 9, 2021
 #1
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radius 1  = 5         height = h

radius 2 =  9 m     height = 9/5 h

 

volume 1 = 12 tons/volume

1/3 pi 5^2 h = 12      remove the constants     25h = 12  tons     h = 12/25

1/3 pi 9^2 (9/5)h =                                          81(9/5)h = ?       81* 9/5 * 12/25 = 69.98=~~70 tons 

 

   (not positive of this answer!)

 May 10, 2021

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