garima's father is a milk man. he daily sells 24 litre of milk in market. he needs 4 litre of water for mixing with the milk. his daughter brings water in two buckets of 5 litre and 3 litre each from the hand pump. then he pour the milk in cylindrical vessel of radius 21 cm
1) is it is possible to bring 4 litre of water with the help of those bucket? if yes then how.
2) find the height of the cylindrical vessel
Answers
1) Yes, it is possible to bring 4 litres of water.
2) 20.20 cm is the height of the cylinder.
Given,
Garima's father daily sells 24 litres of milk.
he needs 4 litres of water for mixing with the milk
Garima brings water in two buckets of 5 litres and 3 litre each
cylindrical vessel is of radius 21 cm
1) is it is possible to bring 4 litres of water with the help of those buckets? if yes then how.
Yes, it is possible to bring 4 litres of water with the help of 5 litres and 3-litre buckets.
There are 2 options for Garima to bring 4 litres of water.
1. She can use only one bucket, i.e, 5-litre bucket to bring 4 litres of water.
2. She can use both 5 litre and 3-litre buckets and pour an equal amount of water i.e, 2 litres of water in each bucket to bring 4 litres of water.
2) find the height of the cylindrical vessel
Total volume of liquid (milk + water) = 24 + 4 = 28 litres
28 litres = 28000 cm^3
The volume of a cylinder is given by,
V = πr^2h
28000 = π * 21^2 * h
h = 28000 / [(22/7) * 21^2]
∴ h = 20.20 cm
Hence the height of the cylinder vessel.