CMIS 102 Raptor Homework 1 Create a Raptor program that calculates the areas and volumes of various 3D geometric objects: cylinders, cones, cubes and spheres. These formuals are written in "English math" because this is a text file. You can find the math formulas in 10,000,000 web pages. 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 Input from the user the radius and height of the solids. Use the same values for all the solids (i.e. input them only once). You are writing one program that does all 8 calculations. Have a variable for each of the 8 areas and volumes (i.e. 8 variables, well-named). 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. This can be either console or graphics window output; Print the Raptor file and the output and turn in. For the output, take a windowshot of the Master Console window and paste that into Word or a graphics program such as Irfanview or Paint. Do one test with the radius and height 1 and another test with other numbers of your choice. 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