An ice c come is 8 centimeters deep and has a diameter of 5 centimeters. A spherical scoop of ice cream that is 5 centimeters in a diameter rests on the top of the cone. If all the ice cream melts into the cone, will the cone overflow?

Question

Mathematics

Singleton

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An ice c come is 8 centimeters deep and has a diameter of 5 centimeters. A spherical scoop of ice cream that is 5 centimeters in a diameter rests on the top of the cone. If all the ice cream melts into the cone, will the cone overflow?

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Answers (1)

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Jaiden Hanson · Answer 1

no it doesn't

Step-by-step explanation:

for the I. c. to overflow;

Vcone
pi (r) ²h/3<2pi (r³) / 3

h<2r

(canceling common terms on both sides)

h=8

r=d/2=5/2

h<2r

8<5 is false so it doesn't overflow