A circular tank of diameter 2 metre is dug and the earth removed is spread uniformly all around the tank to form an embankment 2 metre in width and 1.6 metre in height. Find the depth of the tank
Answers
Answered by
16
volume of embankment= volume of cylindrical tank
note R=3 and r=1
so,
π [R'2 -r'2]×h=. πr'2h
thus by putting given values
we get
h=4.8m
note R=3 and r=1
so,
π [R'2 -r'2]×h=. πr'2h
thus by putting given values
we get
h=4.8m
Answered by
61
for circular tank
external radius R = 3 m
internal radius r = 1 m
thus volume of embankment
V = pi (R^2 - r^2) * h
= pi (9-1) * 1.6
= 40.192 m^2
now volume of tank
V' = pi r^2 h
= 3.14 * 1 * h
since both are equal
V = V'
thus
3.14 h = 40.192
h = 12.8 m
thus height of tank is 12.8 m
external radius R = 3 m
internal radius r = 1 m
thus volume of embankment
V = pi (R^2 - r^2) * h
= pi (9-1) * 1.6
= 40.192 m^2
now volume of tank
V' = pi r^2 h
= 3.14 * 1 * h
since both are equal
V = V'
thus
3.14 h = 40.192
h = 12.8 m
thus height of tank is 12.8 m
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