Asandcastle in the shape of a truncated cone. calculate the diameter of the base.

the diamètre of the top is 20cm, the slope length is 32cm and the height is 30cm.

Based on the given above, since the upper diameter, height and lateral height are given, through illustration, it can be said that the diameter of the base is equal to the upper diameter plus twice the lower base of the two right triangles formed by the height and the lateral edge,in other words,
D=d+2(x); d=20 and x=base of the right triangle,
by pythagorean theorem, 32 = sqrt of x^2 + 30^2; x = 11.1355
Therefore the diameter of the lower base = 20+2(11.1355) = 42.27 cm

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.