Al fills an ice cream cone to the top edge. The diameter of the ice cream cone is 2 inches and its height is 6 inches. Don fills a bowl (V = 5 cubic inches) with ice cream. Al has how much more ice cream than Don? A) 1.2in3 B) 1.28in3 C) 1.1in3 D) 1in3
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Answer:
B) 1.28 in3
Step-by-step explanation:
Given : Diameter = 2 inches i.e.
Radius = 1 inches
Height = 6 inches
Firstly we find volume of cone ,
Volume of cone = 1/3 π r^2 h
= 1/3* 3.14 * 1* 1 * 6
= 1/3 * 18.84
= 6.28 in^ 3
It is given that the cone is full with ice cream
therefore, volume of cone = volume of ice cream
i.e. volume of ice cream fills by Al in cone = 6.28 cubic inches. ...................(i)
and ice cream fills by Don in bowl = 5 cubic inches.......(ii)
On subtracting (ii) by (i) we get ,
1.28 cubic inche
therefore, Al has 1.28cubic inches more ice cream than Don
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