"Question 6 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 litres that can be stored in the tank?
Class 8 Mensuration Page 191"
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:
Radius of cylindrical tank(r) = 1.5 m
Height of cylindrical tank (h)= 7 m
Volume of cylindrical tank = πr²h
= 22/7 × 1.5×1.5× 7
= 22× 2.25
= 49.5 m ³
= 49.5 / 1000 L
[ 1 L= 1/1000 m³]
= 49500 L
Hence required quantity of milk is 49500 L
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Hope this will help you...