What will be the Volume of Ice-Cream? If

A conical is filled with ice cream. The ice ceram from a hemispherical shape on its open top. The height of the hemispherical parts 7 cm. The radius of the hemispherical  equal the height of the cone. Then the volume of the ice cream is [ pai = 22/7 ]

  1. 1078 cubic cm
  2. 1708 cubic cm
  3.  7108 cubic cm
  4. 7180 cubic cm
Monis Rasool Professor Asked on 17th July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 1078 cubic cm
    Explanation:-
    Formula-

    The volume of the of the cone = pie x r2h/3
    And , the volume of the hemispherical = 2 x pie xr3/3
    According to the question,
    The radius of the hemispherical = height of the cone = 7 cm.
    Then, the total volume of ice cream = pie x r2h/3 + 2 x pie x r3/3
    therefore,  = 22 x 72 x 7/3 x 7 + 2 x 22 x 73/3 x 7
    = (22 x 49 + 44 x 49)/3
    = (1078 + 2156)/3
    = 3234/3 = 1078
    Hence, the volume of ice cream is 1078 cubic cm.

    Anurag Mishra Professor Answered on 17th July 2015.
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