"a solid machine part is to be manufactured as shown in the figure. the part is made by cutting a small cone off the top of a larger cone. the small cone has a base radius of 3 inches and a height of 5 inches. the larger cone has a base radius of 5 inches and had a height of 12 inches prior to being cut. what is the volume of the resulting part illustrated in the figure? "

i keep doing the math for it and get 359 cubed inches (rounded to the closest whole number) when including the pi, and 114*pi cubed inches when i exclude it. the answer choices are 60*pi cubed inches, 65*pi cubed inches, 85*pi cubed inches, and 90*pi cubed inches. can someone go through the math of this?