1: A conical machine parts, the bottom area is 27 square centimeters, 5 meters high. The volume of this part is how many cubic centimeters? 2: A pile of cone-shaped sand, the perimeter of the bottom is 12.56 meters, 5 meters. Each cubic meter of sand weighs 1.6 tons. How many tons of sand does this pile have? (the number is reserved for two decimal places) 3: When a conical metal part is immersed in a cube container with an edge length of 8 cm, the water surface rises by 3 cm without water overflow. What is the volume of the part?

1. Cone volume = bottom area * height * 1 / 3 = 27x500x1 / 3 = 4500 cm2, circle circumference is C = π D or C = 2 π R, where D is the diameter of the circle, R is the radius of the circle, so the circle radius is: r = C / 2 π = 12.56 / 2 / 3.14 = 2m, and cone volume = bottom area * height * 1 / 3 = π rrx1.5x1/3 = 6.28 cubic meters of sand

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