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定理1 圆锥侧面积 S_c、底面积 S_d 与体积 V 有关系 S_c~2S_d-S_d~3=9πV~2.证明:设圆锥高为 h,底面半径为 r,则S_c~2S_d=(1/2·2πr·(h~2+r~2))~2·πr~2=π~3r~4h~2
Theorem 1 Cone-side area S_c, base area S_d and volume V are related to S_c~2S_d-S_d~3=9πV~2. Proof: Set the cone height to h and the bottom radius to r, then S_c~2S_d=(1/2· 2πr·(h~2+r~2))~2·πr~2=π~3r~4h~2