Asolid 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?

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.