CMIS 102 Homework Create an applet program that calculates the areas and volumes of various 3D geometric objects: cylinders, cones, cubes and spheres. The formula for the area of a cylinder is: (two times pi times radius times height) plus (two times pi times (radius squared)) the formula for the area of a sphere is: four times pi times (radius squared) formula for area of a cone: (pi times radius times (square root of (radius squared) plus (height squared))) plus (pi times (radius squared)) formula for area of a cube: six times (side length squared) Let the side length be "height" Volume of sphere: four-thirds times pi times (radius cubed) Volume of cylinder: pi times (radius squared) times height Volume of cone: one-third times pi times (radius squared) times height Volume of a cube: height cubed In the init method input from the user the radius and height of the solids. Use the same values for all the solids (input them only once). You are writing one program that does all 8 calculations. Use doubles for the numeric variables. Have a variable for each of the 8 areas and volumes (i.e. 8 variables, well-named). Output the results in the paint method using drawString. Display the results tabularly like the following: ------------------------------------------------ radius xx height xx Solid Area Volume ----- ----- ------ cone xx.xx xx.xx sphere x.xx x.xx cylinder xx.xx x.xx cube x.xx x.xx where the x's are the actual values. Don't worry about aligning the columns perfectly. Use the setFont method to display in a 22 bold courier font. Hint: don't write all this at once; build it up piece by piece. Create the basic input and one output of this applet first, then when that works add some of the other geometric objects, and the display font. Print the Java source code file and turn in. Email the source code to your instructor. Here's an example to check your work by: height 1 and radius 1 cone surface area is 7.584 sphere surface area is 12.566 cylinder surface area is 12.566 cube surface area is 6 cone Volume is 1.047 sphere Volume is 4.189 cylinder Volume is 3.142 cube Volume is 1