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just olya [345]
3 years ago
11

A spherical scoop of ice cream is placed on a waffle cone. The

Mathematics
1 answer:
Mice21 [21]3 years ago
7 0

Answer:

Amount of the melted ice cream that will overflow ≈ 78.31 cm³(nearest hundredth)  

Step-by-step 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)  

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