Diagram IV show the cross-section of the trough after it is filled with water. The cross-section has centre O and diameter 1.2m. From diagram IV, determine the area that is in contact with the water.
Diagram IV show the cross-section of the trough after it is filled with water. The cross-section has centre O and diameter 1.2m. From diagram IV, determine the area that is in contact with the water.
Hello, Punch!
Some information is missing.
The diagram shows the cross-section of the trough partially filled with water.
The cross-section has centre O and diameter 1.2 m.
Determine the area of the side that is in contact with the water.
Code:: 0.6 O 0.6 : A o ------------*-------------o B * * | * * * |0.3 * 0.6 * * E| * * C o-----------o-----------o D * |0.3 * * | * * o * F
The cross-section is a semicircle with radius:
. .
The trough has water to a height of: .
Right triangle has: .
. .
Hence: .
Length of arc: .
We have: .
Hi Soroban
I found a way to solve this question!!
I shall use your code to explain
Find the area of triangle AOC,ODB and OCD.Code:: 0.6 O 0.6 : A o ------------*-------------o B * * | * * * |0.3 * 0.6 * * E| * * C o-----------o-----------o D * |0.3 * * | * * o * F
The sum of area for the three triangles will give the total area not in contact with water.
Next, find the area of the whole semi circle.
Substract the area of the three triangles from the area of the whole semi circle.
U r done!!!!
I do not see what is confusing about this question or what information is missing so please tell me what I did wrong:
Using Sorobans code:
Code:: 0.6 O 0.6 : A o ------------*-------------o B * * | * * * |0.3 * 0.6 * * E| * * C o-----------o-----------o D * |0.3 * * | * * o * F
Did I do anything wrong?
Ah, I see. Sorry about that I misunderstood the question, and interpreted it completely wrong.
Too many exam questions that ask for the area of the cross-sections.
EDIT: Maybe it's a spherical trough?