Erik states that the two cones below have the same volume because of Cavalieri’s principle. 2 cones are shown. The first cone ha

Question

3 years ago

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Erik states that the two cones below have the same volume because of Cavalieri’s principle. 2 cones are shown. The first cone ha

s a radius of r, a slant length of c, and a height of b. The second cone has a radius of r, a height of a, and a slant length of b. Is Erik’s statement correct? Why or why not? Yes, the solids are both cones and appear to have the same volumes. Yes, the area of the bases and the heights of the cones are the same, so the volumes are equal. No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.

Mathematics