"Question 8 Water is pouring into a cubiodal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m^3, find the number of hours it will take to fill the reservoir.
Class 8 Mensuration Page 192"
Answers
Mensuration:
Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.
Volume:
The volume of a solid figure is a space occupied by it.
Volume is measured in cubic units. The common units of volume and a corresponding units of length cubic millimetre (mm³), cubic centimetre (cm³), cubic metre (m³).
The Litre (L) is a unit commonly used for measuring the capacity of vessels or the volume of a liquid.
1 m³=1000000 cm³, 1 cm³ = 1000 mm³
1 cm³= 1 ml, 1 m³= 1000 l= 1 kl
Volume of a cylinder is equal to the area of its circular base × its height= π r²h
Volume of right circular cylinder= π r²h.
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Solution:
Given:
Volume of reservoir = 108 m³
Rate of pouring water into cuboidal reservoir= 60 L /min
= (60 × 60)/1000 m³ /h
= 3600 /1000 = 3.6 m³/h
[ 1 L = 1/1000 m³]
[ 1min 1/60 HR]
Number of Hours= volume of reservoir / rate of pouring water
= 108/3.6= 1080/36= 30
Number of Hours= 30 h
It will take 30 hours to fill the reservoir.
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Hope this will help you...