Class 8 Maths Mensuration Volume and Capacity

Volume and Capacity

Volume refers to the amount of space occupied by an object and capacity refers to the quantity that a container holds.

 Ex: If an oil tank holds 100000 cm3 of oil then the capacity of the oil tank is 100000 cm3.

 Class_8_Maths_Mensuartion_Milk_Tanker

We can measure the capacity in terms of liters also.

 

1 mL = 1 cm3

 

1 L = 1000 cm3

 

1 m3 = 1000000 cm3 = 1000 L

 

Problem: A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in liters that can be stored in the tank.

Class_8_Maths_Mensuartion_Oil_Tanker

Solution:

Given: Radius of cylindrical tank (r) = 1.5 m

And Height of cylindrical tank (h) = 7 m

Volume of cylindrical tank = πr2 h

                                               = 22/7 * 1.5 * 1.5 * 7

                                               = 22 * 1.5 * 1.5

                                               = 49.5 cm3

                                               = 49.5 * 1000 liters                               [Since 1 m3 = 1000 liters]

                                            = 49500 liters

Hence, the required quantity of milk is 49500 liters.

 

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