Tank Truck

Tank TruckCodewars

Approach

solve the problem

1. calculate area of circle (PI * r **2)

2. calculate height of cylinder (volume of cylinder / area of circle (process-1)

3. calculate area of triangle of sector

   1. | radius - h | = height of a triangle (must calculate absolute value)

   2. radius is adjacent of triangle

4. calculate sector 2 triangle(process-3) = 1 sector

5. calculate theta angle of sector

   1. calculate theta use process-3 theta angle(degree) = arcsin ( sin theta ) * (180/PI) sector theta = theta angle * 2

6. calculate segment which means volume of tank

   1. segment = sector - sector triangle

   2. = sector(process-4) - triangle(process-3*2)

7. if h (height of liquid) greater than radius (which means it's bigger than half) return (volume of cylinder - process-6)

8. if h (height of liquid) less than radius return process-6

Solution

JavaScript

function tankvol(h, diameter, volumeOfCylinder) {
  const radius = diameter / 2;
  const areaOfCircle = Math.PI * (radius ** 2);
  
  const heightOfCylinder = volumeOfCylinder / areaOfCircle;
  
  const triangleOfSectorHeight = Math.abs(radius - h);
  const triangleOfSectorWidth = Math.sqrt((radius ** 2) - (triangleOfSectorHeight ** 2)) * 2;
  const adjacentOfSector = triangleOfSectorHeight;
  const oppositeOfSector = triangleOfSectorWidth / 2;
  const hypotenuseOfSector = radius;
  const thetaAngle = Math.asin(oppositeOfSector / hypotenuseOfSector) * (180 / Math.PI);
  
  const sectorAngle = thetaAngle * 2;
  const areaOfSector = sectorAngle / 360 * Math.PI * (radius ** 2);
  const areaOfTriangle = triangleOfSectorWidth * triangleOfSectorHeight / 2;
  const areaOfSegment = areaOfSector - areaOfTriangle;
  const segmentOfCylinder = areaOfSegment * heightOfCylinder;
  
  if (h > radius) {
    return Math.floor(volumeOfCylinder - segmentOfCylinder);
  }
  
  return Math.floor(segmentOfCylinder);
}