document.write( "Question 47737: I have cylinder on its side holding a liquid. the volume of the cylinder is no problem to determine but i need help as the volume in the tank drops. Cylinder measures 11 ft x 4ft
\n" ); document.write( "and current tank level is 1 ft or three ft down. What is the volume in tank at 1 ft? What is the calculation to determine volume at different tank levels?
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Algebra.Com's Answer #31533 by venugopalramana(3286)\"\" \"About 
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I have cylinder on its side holding a liquid. the volume of the cylinder is no problem to determine but i need help as the volume in the tank drops. Cylinder measures 11 ft x 4ft
\n" ); document.write( "and current tank level is 1 ft or three ft down. What is the volume in tank at 1 ft? What is the calculation to determine volume at different tank levels?
\n" ); document.write( "GOOD QUESTION.THE METHOD IS TO FIND CROSS SECTION AREA OF THE CYLINDER AT ANY TIME.WHEN FULL IT IS CIRCLE WITH RADIUS = 2'..BUT WHEN LEVEL DROPS BY 3',IT IS A SECTOR .SINCE A SECTOR IS A PART OF THE CIRCLE ,ITS AREA IS DETERMINED AS A FRACTION OF THE TOTAL ARE OF CIRCLE
\n" ); document.write( "TOTAL AREA OF CIRCLE =PI*R^2...FOR A 360 DEGREE ANGLE AT THE CENTRE.
\n" ); document.write( "AREA OF CIRCLE FORMING X DEGRES AT CENTRE =(X/360)*PI*R^2\r
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\n" ); document.write( "IF YOU KNOW TRIGNOMETRY THIS ANGLE IS FOUND AS FOLLOWS.
\n" ); document.write( "LET CENTRE BE O AND WATER LEVEL BE AB .LET D BE THE MIDPOINT OF AB.
\n" ); document.write( "ODA IS A RIGHT ANGLED TRIANGLE WITH ANGLE ADO=90
\n" ); document.write( "OA=2
\n" ); document.write( "OD=2-1=1
\n" ); document.write( "HENCE AD = SQRT(2^2-1^2)=SQRT(3)
\n" ); document.write( "AD/OA=SQRT(3)/2=SIN(ANGLE AOD)
\n" ); document.write( "ANGLE AOD =60 DEG.
\n" ); document.write( "ANGLE AOB =2 *60=120
\n" ); document.write( "HENCE AREA OF CROSS SECTION OF WATER IN THE TANK IS (120/360)*PI*2^2=4PI/3
\n" ); document.write( "VOLUME = LENGTH*AREA OF CROSS SECTION = 11*4PI/3=44PI/3
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