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A paper cup designed to hold popcorn is in the shape of a cone. The diameter of the cup is 12 centimeters and the height is 16 centimeters. What is the volume of popcorn the cup could hold? Use 3.14 for pi. Enter your answer, as a decimal, in the box.

Guest Mar 5, 2018

Best Answer 

 #1
avatar+7153 
+3

volume of cone   =   ( 1/3 )( π * radius2 * height )

 

diameter  =  12 cm

 

radius  =  diameter / 2

radius  =   12 cm / 2

radius  =   6 cm

 

height  =  16 cm

 

Use these values for the radius and height to find the volume.

 

volume of cone   =   ( 1/3 )( π * (6cm)2 * 16cm )

volume of cone   =   ( 1/3 )( π * 36cm2 * 16cm )

volume of cone   =   ( 1/3 )( π * 36 * 16 )   cm3

volume of cone   =   ( 1/3 )( 576π )   cm3

volume of cone   =   192π   cm3

 

volume of cone   ≈   192(3.14)   cm3

volume of cone   ≈   602.88  cm3

hectictar  Mar 5, 2018
 #1
avatar+7153 
+3
Best Answer

volume of cone   =   ( 1/3 )( π * radius2 * height )

 

diameter  =  12 cm

 

radius  =  diameter / 2

radius  =   12 cm / 2

radius  =   6 cm

 

height  =  16 cm

 

Use these values for the radius and height to find the volume.

 

volume of cone   =   ( 1/3 )( π * (6cm)2 * 16cm )

volume of cone   =   ( 1/3 )( π * 36cm2 * 16cm )

volume of cone   =   ( 1/3 )( π * 36 * 16 )   cm3

volume of cone   =   ( 1/3 )( 576π )   cm3

volume of cone   =   192π   cm3

 

volume of cone   ≈   192(3.14)   cm3

volume of cone   ≈   602.88  cm3

hectictar  Mar 5, 2018

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