Answer:
Amount of the melted ice cream that will overflow ≈ 78.31 cm³(nearest hundredth)
Explanation:
To know how much of the ice cream that will overflow the waffle cone we need to calculate the volume of the spherical scoop of ice cream and the volume of the cone.
volume of the spherical scoop of ice cream = 4/3 × πr³
r = 6.4/2 = 3.2 cm
volume of the spherical scoop of ice cream = 4/3 × 3.14 × 3.2³
volume of the spherical scoop of ice cream = 4/3 × 3.14 × 32.768
volume of the spherical scoop of ice cream = 4/3 × 102.89152
volume of the spherical scoop of ice cream = 411.56608 /3
volume of the spherical scoop of ice cream = 137.188693333
volume of the spherical scoop of ice cream = 137.189 cm³
Volume of the waffle cone = 1/3πr²h
r = 5/2 = 2.5 cm
h = 9 cm
Volume of the waffle cone = 1/3 × 3.14 × 2.5² × 9
Volume of the waffle cone = 1/3 × 3.14 × 6.25 × 9
Volume of the waffle cone = 176.625/3
Volume of the waffle cone = 58.875
Volume of the waffle cone = 58.875 cm³
The amount of the ice cream scoop that will overflow after dissolving will be the volume of the ice cream scoop minus the volume of the waffle cone.
amount that will overflow = 137.189 - 58.875
Amount of the melted ice cream that will overflow = 78.314 cm³
Amount of the melted ice cream that will overflow ≈ 78.31 cm³(nearest hundredth)