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 -
Answer & explanation
Correct answer: option 4
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