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A scoop of ice cream , shaped like a sphere with the diameter 6 cm, is placed in an ice cream cone with diameter 5 cm and the height 10 cm. Is the cone big enough to hold all ice cream if it melts? Explain

User SJMan
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1 Answer

7 votes

Answer:

No, because the cone has a smaller volume than the ice cream

Explanation:

V=4

3πr3=4

3·π·33≈113.09734

Volume of scoop: 113.1 cm^2

V=πr2h

3=π·2.52·10

3≈65.44985

Volume of cone: 65.45 cm^2

65.45 < 113.1

User Hermeneck
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