18. In Diagram 1, a water tank in the shape of a circular cylinder of radius 34 cm and height 125 cm is open at one end and is full
of water. In Diagram 2, a rectangular trough of length 150 cm and width 20 cm is shown
Diagram
Diagram 2
On the basis of above information, answer the following questions:
(1) The volume, in litres, of water tank is:
(a) 94
(b) 188
(c) 226
(d) 306
(ii) The total area, in square metres, of the outside of the open tank, is:
(a) 1.2
(b) 1.6
(c) 1.8
(iii) If the trough is completely filled with 48000 cu em of water from the tank, the depth of the trough is
(a) 16 cm
(b) 12 cm
(c) 8 cm
(d) 5 cm
(iv)After the trough had been filled water started to leak from the tank. In 2 hours 30 minutes it was found that 20.000 cu em
ran out the tank The rate at which the level of water in the tank was falling is :
(a) 4.42 cm/h
(b) 5.1 cm'h
(c) 5.4 cm/h
(d) 6.2 em
(v) The difference in the capacities of the tank and the trough is
(b) 172 litres
(c) 178 litres
(a) 156 litres
() 186 lies
Answers
Answer:
18. In Diagram 1, a water tank in the shape of a circular cylinder of radius 34 cm and height 125 cm is open at one end and is full
of water. In Diagram 2, a rectangular trough of length 150 cm and width 20 cm is shown
Diagram
Diagram 2
On the basis of above information, answer the following questions:
(1) The volume, in litres, of water tank is:
(a) 94
(b) 188
(c) 226
(d) 306
(ii) The total area, in square metres, of the outside of the open tank, is:
(a) 1.2
(b) 1.6
(c) 1.8
(iii) If the trough is completely filled with 48000 cu em of water from the tank, the depth of the trough is
(a) 16 cm
(b) 12 cm
(c) 8 cm
(d) 5 cm
(iv)After the trough had been filled water started to leak from the tank. In 2 hours 30 minutes it was found that 20.000 cu em
ran out the tank The rate at which the level of water in the tank was falling is :
(a) 4.42 cm/h
(b) 5.1 cm'h
(c) 5.4 cm/h
(d) 6.2 em
(v) The difference in the capacities of the tank and the trough is
(b) 172 litres
(c) 178 litres
(a) 156 litres
() 186 lies