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<blockquote data-quote="freyar" data-source="post: 6025215" data-attributes="member: 40227">I think the problem we're having is filling in the ends of the cone differently when we approximate them by triangles.&nbsp; I'm taking the &quot;length of the cone&quot; to be the height of the triangle and adding extra area, whereas you're taking the length of the cone to be side of the triangle and cutting off a small segment at the end of the cone.&nbsp; It might partly be because the AD&amp;D text and 3.5e rules seem to describe the cones in different ways.OK, let's see.&nbsp; I guess the point is that we should really compare the area of the circular segment areas.&nbsp; I get that the side of the AD&amp;D triangle, which from my reading has height 60 ft, is about 62 ft.&nbsp; The opening angle of the cone is 2 times arctan(15/60).&nbsp; Meanwhile, the 3.5e cone has opening angle \pi/2 in radians, so the areas are the same if the 3.5 cone has radius of about 35 ft.&nbsp; (That's throwing it into my calculator.)&nbsp; So I guess we can choose either 30 ft or 40 ft for the size of our cone.&nbsp; <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f615.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":confused:" title="Confused&nbsp; &nbsp; :confused:"&nbsp; data-smilie="5"data-shortname=":confused:" /></blockquote>

[QUOTE="freyar, post: 6025215, member: 40227"] I think the problem we're having is filling in the ends of the cone differently when we approximate them by triangles. I'm taking the "length of the cone" to be the height of the triangle and adding extra area, whereas you're taking the length of the cone to be side of the triangle and cutting off a small segment at the end of the cone. It might partly be because the AD&D text and 3.5e rules seem to describe the cones in different ways. OK, let's see. I guess the point is that we should really compare the area of the circular segment areas. I get that the side of the AD&D triangle, which from my reading has height 60 ft, is about 62 ft. The opening angle of the cone is 2 times arctan(15/60). Meanwhile, the 3.5e cone has opening angle \pi/2 in radians, so the areas are the same if the 3.5 cone has radius of about 35 ft. (That's throwing it into my calculator.) So I guess we can choose either 30 ft or 40 ft for the size of our cone. :confused: [/QUOTE]

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