{"id":70332,"date":"2019-01-02T09:34:22","date_gmt":"2019-01-02T04:04:22","guid":{"rendered":"https:\/\/hindi.theindianwire.com\/?p=70332"},"modified":"2019-01-02T09:34:22","modified_gmt":"2019-01-02T04:04:22","slug":"%e0%a4%b6%e0%a4%82%e0%a4%95%e0%a5%81-%e0%a4%9b%e0%a4%bf%e0%a4%a8%e0%a5%8d%e0%a4%a8%e0%a4%95","status":"publish","type":"post","link":"https:\/\/hindi.theindianwire.com\/%e0%a4%b6%e0%a4%82%e0%a4%95%e0%a5%81-%e0%a4%9b%e0%a4%bf%e0%a4%a8%e0%a5%8d%e0%a4%a8%e0%a4%95-70332\/","title":{"rendered":"\u0936\u0902\u0915\u0941 \u0915\u093e \u091b\u093f\u0928\u094d\u0928\u0915 : \u092a\u0930\u093f\u092d\u093e\u0937\u093e, \u0917\u0941\u0923\u0927\u0930\u094d\u092e, \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u090f\u0935\u0902 \u0906\u092f\u0924\u0928"},"content":{"rendered":"\n
<\/p>\n
\u090f\u0915 \u0938\u092e \u092a\u0930\u093f\u092a\u0924\u094d\u0930(right circular) \u0936\u0902\u0915\u0942 \u0915\u094b \u0928\u094b\u0915 \u0915\u093f \u0924\u0930\u092b \u0938\u0947 \u0925\u094b\u0921\u093e \u0915\u093e\u091f \u0926\u0947\u0928\u0947 \u092a\u0930 \u091c\u094b \u0924\u094d\u0930\u093f\u0906\u092f\u093e\u092e\u0940 \u0906\u0915\u0943\u0924\u093f \u092c\u0928\u0924\u0940 \u0939\u0948 \u0909\u0938\u0947 \u0939\u092e \u0909\u0938 \u0936\u0902\u0915\u0941 \u0915\u093e \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u0939\u0924\u0947 \u0939\u0948\u0964 \u0910\u0938\u0947 \u0915\u093e\u091f\u0928\u0947 \u092a\u0930 \u091c\u094b \u0906\u0915\u0943\u0924\u093f \u092c\u0928\u0924\u0940 \u0939\u0948 \u0909\u0938 \u0906\u0915\u0943\u0924\u093f \u0915\u0947 \u090a\u092a\u0930 \u090f\u0935\u0902 \u0928\u0940\u091a\u0947 \u0935\u0943\u0924\u094d\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u090f\u0935\u0902 \u0926\u094b\u0928\u094b\u0902 \u0935\u0943\u0924\u094d\u0924 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u090f\u0935\u0902 \u0909\u0928\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u092e\u093e\u0928 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n
\u091c\u0948\u0938\u093e \u0915\u0940 \u0906\u092a \u090a\u092a\u0930 \u0926\u093f\u090f \u0917\u090f \u091a\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u092f\u0939\u093e\u0901 \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u090f\u0915 \u0938\u0948\u092e \u092a\u0930\u093f\u092a\u0924\u094d\u0930 \u0936\u0902\u0915\u0941 \u0939\u0948 \u090f\u0935\u0902 \u0939\u092e\u0928\u0947 \u0907\u0938\u0947 \u0926\u094b \u0939\u093f\u0938\u094d\u0938\u094b\u0902 \u092e\u0947\u0902 \u0915\u093e\u091f \u0926\u093f\u092f\u093e\u0964 \u0907\u0938 \u0936\u0902\u0915\u0941 \u0915\u093e \u092c\u093f\u0928\u093e \u0928\u094b\u0915 \u0935\u093e\u0932\u093e \u0939\u093f\u0938\u094d\u0938\u093e \u0907\u0938 \u0936\u0902\u0915\u0941 \u0915\u093e \u091b\u093f\u0928\u094d\u0928\u0915 \u0939\u094b\u0917\u093e \u0907\u0938\u092e\u0947\u0902 \u0926\u094b\u0928\u094b\u0902 \u0914\u0930 \u0935\u0943\u0924\u094d\u0924 \u0939\u0948\u0902 \u090f\u0935\u0902 \u092f\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u0948\u0902\u0964<\/p>\n
\u092f\u0947 \u092d\u0940 \u092a\u095d\u0947\u0902:<\/strong><\/p>\n \u092f\u0947 \u092d\u0940 \u092a\u095d\u0947\u0902:<\/strong><\/p>\n \u091c\u0948\u0938\u093e \u0915\u0940 \u0939\u092e\u0928\u0947 \u092a\u0939\u0932\u0947 \u092c\u0924\u093e\u092f\u093e \u0915\u0940 \u091b\u093f\u0928\u094d\u0928\u0915 \u090f\u0915 \u0936\u0902\u0915\u0941 \u0915\u093e \u0915\u091f\u093e \u0939\u0941\u0906 \u0939\u093f\u0938\u094d\u0938\u093e \u0939\u094b\u0924\u093e \u0939\u0948 \u0907\u0938\u0932\u093f\u090f \u0939\u092e\u0947\u0902 \u090f\u0915 \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u0906\u092f\u0924\u0928 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0926\u094b \u0938\u092e \u092a\u0930\u093f\u092a\u0924\u094d\u0930 \u0936\u0902\u0915\u0941\u0913\u0902 \u0915\u093e \u0906\u092f\u0924\u0928 \u0928\u093f\u0915\u0932\u0928\u093e \u092a\u095c\u0947\u0917\u093e\u0964 \u0939\u092e \u092f\u0939 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0930\u0947\u0902\u0917\u0947 :<\/p>\n \u092a\u0942\u0930\u0947 \u0936\u0902\u0915\u0941 \u0915\u0940 \u090a\u0902\u091a\u093e\u0908: H+h<\/strong><\/p>\n \u090f\u0935\u0902 \u0915\u0941\u0932 \u0924\u093f\u0930\u094d\u092f\u0915 \u090a\u0902\u091a\u093e\u0908 =\u00a0 l1+ l2\u00a0<\/strong><\/p>\n \u092a\u0942\u0930\u0947 \u0936\u0902\u0915\u0941 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e : R<\/strong><\/p>\n \u090f\u0935\u0902 \u0928\u0940\u091a\u0947 \u0915\u091f\u0947 \u0939\u0941\u090f \u0936\u0902\u0915\u0941 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e : r<\/strong><\/p>\n \u092a\u0942\u0930\u0947 \u0936\u0902\u0915\u0941 \u0915\u093e \u0906\u092f\u0924\u0928 :\u00a01\/3\u00a0\u03c0 R2<\/sup>\u00a0H\u2019 = 1\/3\u00a0\u03c0 R2<\/sup>\u00a0(H+h)\u00a0<\/strong><\/p>\n \u091b\u094b\u091f\u0947 \u0936\u0902\u0915\u0941 \u0915\u093e \u0906\u092f\u0924\u0928\u00a0 :\u00a0\u00a01\/3\u00a0\u03c0r2<\/sup>h<\/strong><\/p>\n =\u00a01\/3\u00a0\u03c0R2<\/sup>H\u2019 -1\/3\u00a0\u03c0r2<\/sup>h<\/strong> =1\/3 \u03c0 [ R2\u00a0<\/sup>(Rh\/r)-r2<\/sup>\u00a0h\u00a0<\/sup>] =1\/3 \u03c0\u00a0 [R3<\/sup>h\/r-r2<\/sup>\u00a0h )]<\/strong> \u0905\u0924\u0903 \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u090f\u0915 \u091a\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u0906\u092f\u0924\u0928 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0906 \u0917\u092f\u093e \u0939\u0948 \u0935\u0939 \u0939\u0948 :<\/p>\n \u0936\u0902\u0915\u0941 \u0915\u0947 \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u0906\u092f\u0924\u0928 :\u00a01\/3 \u03c0 h [(R3<\/sup>-r3<\/sup>)\/ r]<\/strong><\/p>\n \u091c\u093f\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u092e\u0928\u0947 \u0907\u0938 \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u0906\u092f\u0924\u0928 \u0928\u093f\u0915\u093e\u0932\u093e \u0925\u093e \u0909\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u092a\u0943\u0937\u094d\u0920 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0928\u093f\u0915\u0932\u0947\u0917\u093e\u0964 \u0939\u092e\u0947\u0902 \u092c\u0938 \u092a\u0942\u0930\u0947 \u0936\u0902\u0915\u0941 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0928\u093f\u0915\u093e\u0932\u0928\u093e \u0939\u0948 \u090f\u0935\u0902 \u0909\u0938\u092e\u0947\u0902 \u0938\u0947 \u091b\u094b\u091f\u0947 \u0936\u0902\u0915\u0941 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u094b \u0918\u091f\u093e \u0926\u0947\u0928\u093e \u0939\u0948\u0964 \u0910\u0938\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 \u091c\u094b \u0909\u0924\u094d\u0924\u0930 \u0906\u090f\u0917\u093e \u0935\u0939\u0940 \u0909\u0938 \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0939\u094b\u0917\u093e\u0964<\/p>\n \u092f\u0926\u093f \u0909\u0938\u092e\u0947\u0902 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0914\u0930 \u091c\u094b\u095c \u0926\u0947\u0902\u0917\u0947 \u0924\u094b \u0935\u0939 \u092a\u0942\u0930\u094d\u0923 \u092a\u0943\u0937\u094d\u0920\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092c\u0928 \u091c\u093e\u090f\u0917\u093e \u090f\u0935\u0902 \u0905\u0917\u0930 \u0926\u094b\u0928\u094b\u0902 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0918\u091f\u093e \u0926\u0947\u0902\u0917\u0947 \u0924\u094b \u0935\u0939 \u0935\u0915\u094d\u0930 \u092a\u094d\u0930\u0937\u094d\u0920\u093f\u092f\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092c\u0928 \u091c\u093e\u090f\u0917\u093e\u0964<\/p>\n \u0905\u0924\u0903<\/p>\n \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u092a\u0942\u0930\u094d\u0923 \u092a\u0943\u0937\u094d\u0920\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 :\u00a0\u03c0\u00a0l1\u00a0<\/sub>(R+r) +\u03c0R2\u00a0<\/sup>+\u03c0r2<\/sup><\/strong><\/p>\n \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u0935\u0915\u094d\u0930 \u092a\u0943\u0937\u094d\u0920\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 :\u00a0\u03c0(R+r)l1<\/sub><\/strong><\/p>\n \u0905\u0917\u0930 \u0915\u093f\u0938\u0940 \u092e\u0947\u0902 \u0939\u092e\u0947\u0902 \u0907\u0938 \u0936\u0902\u0915\u0941 \u090f\u0935\u0902 \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u0940 \u0924\u093f\u0930\u094d\u092f\u0915 \u090a\u0902\u091a\u093e\u0908 \u0928\u0939\u0940\u0902 \u0926\u0947 \u0930\u0916\u0940 \u0939\u0948 \u0924\u094b \u0939\u092e \u0909\u0938\u0947 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0928\u093f\u0915\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 :<\/p>\n = \u221a[H2\u00a0<\/sup>+(R-r)2<\/sup>]<\/strong><\/p>\n \u0905\u0924\u0903 \u090a\u092a\u0930 \u0926\u093f\u090f \u0917\u090f \u0938\u0942\u0924\u094d\u0930\u094b\u0902 \u0938\u0947 \u0906\u092a \u090f\u0915 \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u0906\u092f\u0924\u0928, \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u090f\u0935\u0902 \u0924\u093f\u0930\u094d\u092f\u0915 \u090a\u0902\u091a\u093e\u0908 \u0928\u093f\u0915\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0964<\/p>\n \u0907\u0938 \u0932\u0947\u0916 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u092f\u0926\u093f \u0906\u092a\u0915\u093e \u0915\u094b\u0908 \u092d\u0940 \u0938\u0935\u093e\u0932 \u092f\u093e \u0938\u0941\u091d\u093e\u0935 \u0939\u0948, \u0924\u094b \u0906\u092a \u0909\u0938\u0947 \u0928\u0940\u091a\u0947 \u0915\u092e\u0947\u0902\u091f \u092e\u0947\u0902 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/em><\/p>\n \u0917\u0923\u093f\u0924 \u0915\u0947 \u0905\u0928\u094d\u092f \u0932\u0947\u0916:<\/strong><\/p>\n \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948? (frustum of cone in hindi) \u090f\u0915 \u0938\u092e \u092a\u0930\u093f\u092a\u0924\u094d\u0930(right circular) \u0936\u0902\u0915\u0942 \u0915\u094b \u0928\u094b\u0915 \u0915\u093f \u0924\u0930\u092b \u0938\u0947 \u0925\u094b\u0921\u093e \u0915\u093e\u091f \u0926\u0947\u0928\u0947 \u092a\u0930 \u091c\u094b \u0924\u094d\u0930\u093f\u0906\u092f\u093e\u092e\u0940 \u0906\u0915\u0943\u0924\u093f \u092c\u0928\u0924\u0940 \u0939\u0948 \u0909\u0938\u0947 \u0939\u092e \u0909\u0938 \u0936\u0902\u0915\u0941 \u0915\u093e \u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u0939\u0924\u0947 \u0939\u0948\u0964 \u0910\u0938\u0947 \u0915\u093e\u091f\u0928\u0947 \u092a\u0930 \u091c\u094b \u0906\u0915\u0943\u0924\u093f \u092c\u0928\u0924\u0940 \u0939\u0948 \u0909\u0938 \u0906\u0915\u0943\u0924\u093f \u0915\u0947 \u090a\u092a\u0930 \u090f\u0935\u0902 \u0928\u0940\u091a\u0947 \u0935\u0943\u0924\u094d\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u090f\u0935\u0902 \u0926\u094b\u0928\u094b\u0902 \u0935\u0943\u0924\u094d\u0924 […]<\/p>\n","protected":false},"author":34,"featured_media":78084,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6348],"tags":[],"yst_prominent_words":[],"class_list":["post-70332","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts\/70332","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/comments?post=70332"}],"version-history":[{"count":0,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts\/70332\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/media\/78084"}],"wp:attachment":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/media?parent=70332"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/categories?post=70332"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/tags?post=70332"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/yst_prominent_words?post=70332"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
\u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u0947 \u0917\u0941\u0923\u0927\u0930\u094d\u092e (formulas of frustum of cone)<\/h2>\n
<\/p>\n
\n
\n
\u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u0906\u092f\u0924\u0928 (perimeter of frustum of cone)<\/h2>\n
<\/p>\n
\n
\n
\n
\n= 1\/3 \u03c0R2<\/sup>(H+h) -1\/3\u00a0\u03c0r2<\/sup>h<\/strong>
\n=1\/3 \u03c0[R2\u00a0<\/sup>(H+h)-r2<\/sup>\u00a0h]<\/strong><\/p>\n\n
\n=1\/3 \u03c0 h (R3<\/sup>\/r-r2\u00a0<\/sup>)\u00a0 =1\/3 \u03c0 h (R3<\/sup>-r3\u00a0<\/sup>\/ r)<\/strong><\/p>\n\u091b\u093f\u0928\u094d\u0928\u0915 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (area of frustum of cone)<\/h2>\n
<\/p>\n
\n