Question

1. A tomato sauce container is in the form of a cylinder ‘A’ , with radius
5 cm and height 20 cm . Its nozzle is a small cylinder ‘B’ , on the top of
the container ( A ) , radius of the nozzle is 0.5 cm and height 4 cm.
a. find the volume of sauce in the container when cylinder A is filled to
brim . ( the nozzle B is empty ) .
b. when the container A is inverted , the sauce flows through the nozzle
at the rate of 2cm in 4 seconds . Find how many seconds would it
take to empty the container A .
c. find the volume of sauce that flows through the nozzle per second .
d. if the contents of the cylinder A were to be repacked into 10 ml sachets
find how many sachets would be formed , after repacking

Answer 1

Answer:

1. 1570cm3

2. 400 seconds

3. 0.3925cm3/s

4. 157 sachets

Step-by-step explanation:

1. Volume of Cylinder (A) = 3.14*25*20 = 1570cm3

speed of flow of sauce = 2cm/4s = 0.5cm/s

cross-section area of cylinder(B) = 3.14*0.5*0.5 = 0.785cm2

3. Speed of Sauce per second = cross section area*speed

                                               = 0.785*0.5 = 0.3925cm3/s

2. if 0.3925 cm3 flows in 1 sec, how much time will 1570cm3 take?

1570/0.3925 = 400 seconds

4. 1570cm3 = 1570ml

1570/10 = 157 sachets