Question

An ice cream seller sells his ice cream in two ways A. in a cone of R= 5 cm ,h= 8cm with a hemishperical top .

Answer 1

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 is therefore = 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