A scoop of ice cream, shaped like a sphere with diameter 6 cm, is placed in an ice cream cone with diameter 5 cm and height 9 cm.

Question

A scoop of ice cream, shaped like a sphere with diameter 6 cm, is
placed in an ice cream cone with diameter 5 cm and height 9 cm.
Is the cone big enough to hold all the ice cream if it melts? Explain.​

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Kennedy 4 months 2022-01-03T06:51:10+00:00 1 Answer 0 views 0

Answers ( )

  1. Liliana
    0
    2022-01-03T06:52:27+00:00
    Reply

    Answer:

    The answer is no.

    We need to calculate if the volume of the ice cream is equal or smaller than the volume of the ice cream cone.

    The volume of the ice cream (sphere) is

    V1 = 4/3 r³ π

    d =  6

    r = d/2 = 6/2 = 3

    V1 = 4/3 * 3³ * 3.14 = 113.04 cm³

    The volume of the ice cream cone is:

    V2 = 1/3 r² h π

    d = 5

    r = d/2 = 5/2 = 2.5

    h = 12

    V2 = 1/3 * 2.5² * 12 * 3.14 = 78.5 cm³

    Since the volume of the ice cream (V1) is bigger than the volume of the ice cream cone (V2), the cone is not big enough to hold all the ice cream if it melts

    Read more on Brainly.com – https://brainly.com/question/2291981#readmore

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