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因为圆柱有底面和高,圆锥也有底面和高,所以猜想圆锥的体积可能与“底面和高有关”。准备好等底等高圆柱形容器和圆锥形容器。
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","type":1},{"source":0,"source_platform":"local","splicing_template_id":0,"text":"圆锥体积等于与它等底等高的圆柱体积的三分之一,而圆柱体积=底面积×高,所以圆锥体积=底面积×高×1/3。即V=1/3Sh或V=1/3πr²h。
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","type":1},{"img_height":4032,"img_url":"https://ss-mpvolc.meipian.me/users/84773554/a9d7c772e6b64f68b854368bccd8221f__jpeg.heic","img_width":3024,"source":0,"source_platform":"local","splicing_template_id":0,"type":1},{"img_height":4032,"img_url":"https://ss-mpvolc.meipian.me/users/84773554/77bea22ac9b841c3a6b64174552f333b__jpeg.heic","img_width":3024,"source":0,"source_platform":"local","splicing_template_id":0,"type":1},{"img_height":4032,"img_url":"https://ss-mpvolc.meipian.me/users/84773554/174530052bdb4baea94522afc5736459__jpeg.heic","img_width":3024,"source":0,"source_platform":"local","splicing_template_id":0,"type":1},{"img_height":4032,"img_url":"https://ss-mpvolc.meipian.me/users/84773554/f6dc700b39ae4caa92301c63a3dcff87__jpeg.heic","img_width":3024,"source":0,"source_platform":"local","splicing_template_id":0,"type":1},{"img_height":4032,"img_url":"https://ss-mpvolc.meipian.me/users/84773554/8d6d617e82334d02836210468f4e2f8c__jpeg.heic","img_width":3024,"source":0,"source_platform":"local","splicing_template_id":0,"type":1},{"img_height":4032,"img_url":"https://ss-mpvolc.meipian.me/users/84773554/cc8289aa30fc45c4923f4ad3d06fdd09__jpeg.heic","img_width":3024,"source":0,"source_platform":"local","splicing_template_id":0,"type":1},{"img_height":4032,"img_url":"https://ss-mpvolc.meipian.me/users/84773554/6a92c24c3501474ca16f8da216aab7cb__jpeg.heic","img_width":3024,"source":0,"source_platform":"local","splicing_template_id":0,"type":1},{"img_height":4032,"img_url":"https://ss-mpvolc.meipian.me/users/84773554/827552910dbd469cae9b5ee4160f1e03__jpeg.heic","img_width":3024,"source":0,"source_platform":"local","splicing_template_id":0,"type":1},{"img_height":4032,"img_url":"https://ss-mpvolc.meipian.me/users/84773554/ca847654ee6a4dbbba3af58422345e1e__jpeg.heic","img_width":3024,"source":0,"source_platform":"local","splicing_template_id":0,"text":"将圆锥形容器装满小米,再倒入圆柱形容器,我们发现三次刚好可以倒满。由此可得出结论,圆柱的体积等于和它等底等高的圆锥的体积的三倍,也就是圆锥的体积等于和它等底等高的圆柱体积的三分之一。
","type":1},{"source":0,"source_platform":"local","splicing_template_id":0,"text":"圆锥体积等于与它等底等高的圆柱体积的三分之一,而圆柱体积=底面积×高,所以圆锥体积=底面积×高×1/3。即V=1/3Sh或V=1/3πr²h。
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