A conical cup is filled with ice cream. The ice cream forms a hemispherical shape on the top. The height of the hemisphere part is 7 cm and the height of conical cup is 13 cm. The volume of ice cream in cubic cm is -

1386 cm³

Height of hemisphere = radius of hemisphere = 7 cm

Volume of figure = Volume of hemisphere + volume of cone

                          =\(\frac{2}{3}\) \(\pi \)r³ + \(\frac{1}{3}\) \(\pi \)r²h

                         = \(\frac{1}{3}\) \(\pi \)r²(2r + h)

                         = \(\frac{1}{3}\) \(\pi \) × 7 × 7 (14 + 13)

                         = \(\frac{22}{7}\) × \(\frac{1}{3}\) × 7 × 7 × 27

                         = 1386 cm³