in c++

Write two local classes named Pipe and EllipsoidContainer as described below. Then, write a main function that reads the flowSpeed and area of a Pipe object (p) both as double values. main will also read the axisA, the axisB, and the axisC of a EllipsoidContainer object (wingTank) all as double values. Finally, the inputPipe of wingTank will be the p Pipe object. Finally, the program should calculate the time it takes the wingTank to be completely filled with gas and prints it to the screen as a double value.

Pipe Class

• A private double field named flowSpeed representing the flow speed of the pipe.
• A private double field named area representing the cross-section area (i.e., kesit alan) of the pipe.
• A constructor that gets two double values and initializes the object.
• An empty constructor.
• A public function named calculateFlowRate that does not get any parameter, multiplies the flowSpeed and area of the pipe, and returns it as a double value.

EllipsoidContainer Class

• A private double field named axisA representing the A axis length of the ellipsoid.
• A private double field named axisB representing the B axis length of the ellipsoid.
• A private double field named axisC representing the C axis length of the ellipsoid.
• A private Pipe field named inputPipe representing the pipe that provides water to this EllipsoidContainer.
• A constructor that gets three double values, a Pipe value, and initializes the object.
• A public function named calculateVolume that does not get any parameter, calculates the volume of the pool using the ellipsoid volume formula given below and returns it as a double value:

Volume = (4/3)*PI*axisA * axisB * axisA

• A public function named calculateTimeToFill that does not get any parameter, calculates the time it takes for the EllipsoidContainer to be filled with gas from the pipe by dividing the volume of the EllipsoidContainer by the flow rate of the pipe and returns it as a double value.

The main function will,

1. Instantiate one Pipe object called p and instantiate an EllipsoidContainer object called wingTank as explained above.
2. Use the calculateTimeToFill method of the EllipsoidContainer class to print out the time it takes to fill the EllipsoidContainer and print it out.

NOTE: flowSpeed and area will always be given as positive values.

NOTE: All the functions MUST only do the tasks described above, nothing else.

NOTE: Both classes MUST be written as described.

NOTE: To calculate PI, you MUST use the M_PI constant from the cmath library.