{"id":228847,"date":"2026-04-23T14:50:27","date_gmt":"2026-04-23T11:50:27","guid":{"rendered":"https:\/\/azbuki.bg\/?p=228847"},"modified":"2026-04-23T14:50:27","modified_gmt":"2026-04-23T11:50:27","slug":"volume-of-a-truncated-cone-via-geometric-similarity","status":"publish","type":"post","link":"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/volume-of-a-truncated-cone-via-geometric-similarity\/","title":{"rendered":"Volume of a Truncated Cone via Geometric Similarity"},"content":{"rendered":"

Blagovest Ivanov<\/strong>
\n164th High School „Miguel de Cervantes“, Sofa, Bulgaria<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2026-1-3-vtc<\/a><\/p>\n

Abstract.<\/strong> The following study addresses the issue of calculating with precision the volume of a truncated right circular cone while provided with
\nlimited information on the dimensions of the object itself (being given the relation between the radii, the vertical heights, or the slanted heights). The
\nresults include the proof of two theorem generalizations for the calculation of said volume with either of the three given elements via the principles of
\ngeometric similarity. It is shown that, due to the similarity between the full cone and the smaller removed cone, the volume of the truncated cone
\ncan be expressed using the di\u001berence of cubes of the corresponding linear dimensions. Revisiting the classical volume formula through the principles
\nof geometric similarity, this work provides six alternative expressions that have both theoretical value and direct applications, especially in the \u001celd of
\neducation.
\nKeywords:<\/em> Right circular truncated cone, Volume formulas, Geometric similarity, Multi-dimensional parameterization, Educational, applied, and theoretical value<\/p>\n

Open the full text<\/a><\/p>","protected":false},"excerpt":{"rendered":"

Blagovest Ivanov 164th High School „Miguel de Cervantes“, Sofa, Bulgaria https:\/\/doi.org\/10.53656\/math2026-1-3-vtc Abstract. The following study addresses the issue of calculating with precision the volume of a truncated right circular cone while provided with limited information on the dimensions of the object itself (being given the relation between the radii, the vertical heights, or the slanted […]<\/p>","protected":false},"author":124332423427287,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[]},"categories":[1],"tags":[18030,18029,18028,18026,18027,18024,18025],"yoast_head":"\nVolume of a Truncated Cone via Geometric Similarity - \u0410\u0437-\u0431\u0443\u043a\u0438<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/azbuki.bg\/uncategorized\/volume-of-a-truncated-cone-via-geometric-similarity\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Volume of a Truncated Cone via Geometric Similarity - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Blagovest Ivanov 164th High School „Miguel de Cervantes“, Sofa, Bulgaria https:\/\/doi.org\/10.53656\/math2026-1-3-vtc Abstract. 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