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An ice cream cone is three inches tall and its top is a circle with diameter two inches. The cone is filled with ice cream, such that the interior of the cone is entirely full. The cone is topped with a hemisphere of ice cream with diameter two inches. What is the total volume, in cubic inches, of the ice cream in and atop the cone?

 May 13, 2020
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Total volume  =  Volume of  cone  with a radius = radius of hemisphere =  1  inch  and height of 3 in +  Volume of semi-circle with a radius of 1

 

Total Volume =  (1/3)pi (r^2) h    +  (2/3) pi r^3   =

 

(1/3)pi (1^2) * 3  + (2/3) pi (1)^3  =

 

pi  + (2/3) pi  =

 

pi ( 1 + 2/3) in^3  =

 

(5/3)pi  in ^3   ≈  5.24 in ^3

 

 

cool cool cool

 May 13, 2020

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