Question

A cylindrical metal drum of height 125 cm has a capacity of 693 litres. Calculate the

diameter of the drum.

]


(ii) Oil is poured into the drum for 1 hour and 17 minutes at a rate of p litres per minute

until it just begins to overflow. Calculate the value of p. [Hint: 1 litre = 1000cm3

]

Answer 1

Answer:

Height of the vessel=1m

Capacity of the vessel=15.4 liters

=

1000

15.4

m

3

=0.0154m

3

Volume of the cylindrical vessel=πr

2

h=0.0154

⇒

7

22

×r

2

×1=0.0154

r

2

=

22

0.0154×7

=0.0049

⇒r=0.07m

Metal sheet needed to make the cylindrical vessel=T.S.A of the cylindrical vessel.

⇒2πr(r+h)=2×

7

22

×0.07(0.07+1)m

2

=0.4708m

2

∴0.4708m

2

of sheet will be required to make the vessel.