This question is the combination of cylindrical structure and cone structure by using given parameters we will find the final radius of the cone. Question from RS Aggarwal book, page number 787.

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Deepak Bora

Asked: 2020-08-05T23:05:15+05:30
2020-08-05T23:05:15+05:30In: CBSE

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Volume of ice cream = πr²h

Volume of ice cream = 3.142 x 6² x 15

= 1696.68

Each child gets = 1696.68/10 = 169.668 cm³

Take radius of cone = r = radius of hemisphere

∴ Height of cone = 4r

Volume of hemisphere + volume of cone = 169.668 cm³

2/3 x 3.142 x r³ + 1/3 x 3.142 x r² (4r) = 169.668

2.09r³ + 4.19r³ = 169.668

6.28r³ = 169.668

r³ = 27

r = 3 cm

∴ Radius of cone = 3 cm