Calculate the volume of the solid using double integrals and polar co-ordinates. Solid: inside the prism bounded by the planes y = x, y = 0,x = a/v2 and between the plane z = 0 and the cone az = h(x² + y²)". 1/2
A cartesian coordinate system contains two mutually perpendicular number lines named x-axis and y-axis. The point of intersection of the axes is called origin and its coordinate is . The x coordinate of the point is defined as the perpendicular distance from the y axis and the y coordinate of the point is defined as the perpendicular distance from the x-axis.
A polar coordinate system contains a reference point and a reference direction. The reference point is called the pole and the reference direction is called the polar axis. In this coordinate system, a point is represented with coordinates . The radial coordinate r represents the distance between the point and the reference point. The angular coordinate θ represents the angle between the line connecting point and reference point and the reference direction.
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