Question : A hemispherical bowl of internal diameter 18 cm contains water. This water is to be filled in cylindrical bottles of diameter 6 cm and height 3 cm. The number of bottles required to empty the bowl is:

Option 1: 3

Option 2: 9

Option 3: 6

Option 4: 18

Question : Water flows at the rate of 10 meters per minute from a cylindrical pipe 5 mm in diameter. How long does it take to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm?

Option 1: 28 minutes 48 seconds

Option 2: 51 minutes 12 seconds

Option 3: 51 minutes 24 seconds

Option 4: 28 minutes 36 seconds

Question : If the height of a cone is 7 cm and the diameter of the circular base is 12 cm, then its volume is (nearest to integer):

Option 1: $254\; \text{cm}^3$

Option 2: $284\; \text{cm}^3$

Option 3: $264\; \text{cm}^3$

Option 4: $274\; \text{cm}^3$

Question : A frustum of a right circular cone, whose height is 18 cm, large base radius is 25 cm, and small base radius is 20 cm, is melted to form a small sphere of diameter 2 cm. How many spheres will be formed?

Option 1: 6287

Option 2: 6862

Option 3: 4575

Option 4: 5857

Question : The volume of a right circular cone having a base diameter of 14 cm is 196$\pi$ cm³. Find the perpendicular height of this cone

Option 1: 10 cm

Option 2: 12 cm

Option 3: 14 cm

Option 4: 8 cm