Asked by Eren
A cylinder water tank, lying horizontally, 1.2 m. in diameter and 3 m long is filled to a depth of 0.90 m. How many liters of water does it contain?
Answers
Answered by
oobleck
Look at the cross-section. The area of the unfilled pipe is a segment with area
1/2 r^2 (θ-sinθ)
where cos(θ/2) = .3/1.2 = .25
so, θ = 1.31, sinθ = 0.968
That makes the volume of water
(0.36π - 0.18(1.31-0.968))*3 = 3.208 m^3
1/2 r^2 (θ-sinθ)
where cos(θ/2) = .3/1.2 = .25
so, θ = 1.31, sinθ = 0.968
That makes the volume of water
(0.36π - 0.18(1.31-0.968))*3 = 3.208 m^3