A cylindrical metal drum of height 125 has a capacity of 693 litres. Calculate the diameter of the drum
Answers
the capacity of cylinderical tank
= 246.4litre
convert litre to m^3
since , we know that 1 litre = 0.001 m^3
246.4 litre =246.4 × 0.001 =0.2464 m^3
and also given that height of cylinderical tank (h)=4m
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capacity of cylinderical tank(in l ) means volume of cylinderical tank.
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since we know that
volume of cylinder = π r^2 h
according to question,
volume of cylinderical tank = 0.2464 m^3
π r^2 h = 0.2464
π r^2 × 4 = 0.2464
π r^2 =0. 2464 / 4
π r^2 = 0.0616
r^2 = 0.0616 × 7 / 22
r^2 = 0.0196
r = 0.14 m
radius of the base of given cylinder(r)
=0.14 m
since,
we know that diameter of the base of a cylinder = 2r
therefore ,
diameter of the base of a cylinderical tank = 2r= 2 × 0.14 =0.28 m
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Answer : diameter =0.28 m