Ineed a good deffinet answer i suck at these type of questions a cylinder and a cone have the same diameter: 8 inches. the height of the cylinder is 5 inches. the height of the cone is 15 inches. use π = 3.14. what is the relationship between the volume of this cylinder and this cone? explain your answer by determining the volume of each and comparing them. show all your work.

I don't even actually need to work this one out. The rule between the volumes of a cylinder and a cone is that is they have the same height and diameter, the the volume of the cone is one-third that of the cylinder. But in this case the cone's height is three times that of the cylinder. So I predict that their volumes are the exact same. But working it out, the volume of a cylinder is V=πr2h, and plugging in all the appropriate values the volume of the cylinder is 251.33 square inches. And the volume of a cone is V=πr2(h/3), and plugging in the values given to me here the volume of the cone is 251.33 square inches. Therefore their volume is the same.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi