Answer:
No, the cone will not hold all of the ice cream.
Step-by-step explanation:
Given:
" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a height of 6 inches.
If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let it melt.
Now, to explain mathematically will the cone hold all of the ice cream.
<u>Taking the value of π = 3.14.</u>
So, to get the volume of waffle cone we put formula:
Height (h) = 6 inches.
Diameter =
Thus radius (r) = Diameter ÷ 2 =
The volume of waffle cone = 10.78 inches³.
Now, to get the volume of scoop which is in the shape of sphere we put formula:
Diameter =
Thus radius (r) = Diameter ÷ 2
<em>The volume of one scoop of ice cream = 12.47 inches³.</em>
<u><em>So, as the volume of scoop of ice cream is more than the volume of cone.</em></u>
<u><em>Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.</em></u>
Therefore, no the cone will not hold all of the ice cream.