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ÀÛ¼ºÀÚ Uploader : simplelife ÀÛ¼ºÀÏ Upload Date: 2019-11-10º¯°æÀÏ Update Date: 2019-11-10Á¶È¸¼ö View : 2452

±×¸²°ú °°ÀÌ ¹ÝÁö¸§ÀÇ ±æÀÌ°¡ R ÀÎ ±¸¿¡ ³»Á¢ÇÏ´Â ¿ø»ÔÀÇ ³ôÀÌ°¡ h ÀÏ ¶§, ¿ø»ÔÀÇ ºÎÇÇ´Â ´ÙÀ½°ú °°

ÀÌ ±¸ÇÒ ¼ö ÀÖ´Ù.

¿ø»ÔÀÇ ¹Ø¸é¿øÀÇ ¹ÝÁö¸§ r Àº ÇÇŸ°í¶ó½º Á¤¸®·Î ºÎÅÍ ±¸ÇÒ ¼ö ÀÖ´Ù.

r^2 = R^2 - (h-R)^2 = R^2 - h^2 + 2*R*h - R^2 = 2*R*h - h^2

µû¶ó¼­, ¿ø»ÔÀÇ ºÎÇÇ V ´Â ´ÙÀ½°ú °°´Ù.

V = (¥ð/3)*(2*R*h - h^2)*h

(2*R*h - h^2)*h ÀÌ ÃÖ´ë À϶§, ¿ø»ÔÀÇ ºÎÇÇ°¡ ÃÖ´ë°¡ µÇ¹Ç·Î, h ¿¡ ´ëÇØ ¹ÌºÐÇϸé,

4*R*h - 3*h^2 = 0

À¸·Î ºÎÅÍ,

h = (4/3)*R

ÀÏ ¶§, ºÎÇÇ°¡ ÃÖ´ë°¡ µÇ¹Ç·Î,

Vmax = (¥ð/3)*((24/9)*R^2 - (16/9)*R^2)*(4/3)*R

    = (32/81)*¥ð*R^3

ÀÌ µÈ´Ù.


*** Âü°í¹®Çå[References] ***

Vmax = (32/81)*¥ð*R^3
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º¯¼ö¸í Variable º¯¼ö°ª Value º¯ ¼ö ¼³ ¸í Description of the variable


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