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An ice cream cone full of ice cream having radius 5 cm and height 10 cm as shown in the Figure. Calculate the volume of ice cream, provided that its 1/8 part is left unfilled with ice cream.

Answers (1)

In this figure, there is a hemisphere of radius of 5 cm

            And a cone of radius 5 cm and of height 10-5 = 5 cm

 Volume of cone

=\frac{1}{3}\pi r^2 h=\frac{1}{3}\times 3.14 \times (5)^2\times 5=130.83cm^3

            Volume of hemisphere

            =\frac{2}{3}\pi r^3

           =\frac{2}{3}\times 3.14 \times (5)^3=261.66cm^2

            The volume of complete figure = volume of cone + volume of the hemisphere

                        = 130.83 +261.66 = 392.49 cm^3

         \text{ The volume of the unfilled part }=\frac{392.49}{6}=65.41cm^3

            Volume of ice cream = volume of complete figure - volume of unfilled part

                                          392.49- 65.41=327.08 cm^3

            Hence the volume of ice cream is 327.08 cm3


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