體積問題 - Volume Question
2007-10-27 4:17 pm
In a certain island nation, the chief export is the pok-pok melon. This delicious melon is perfectly spherical with a radius of 10 cm. The natives simply core the melon with a circular cutter, lop off the top and bottom curved parts, and place the resulting cylinder into a can for shipment. In fact, this core is a perfect cylinder 12.0 cm tall and is the largest such cylinder that can be cut from the spherical melon.
回答 (2)
2007-10-27 6:34 pm
✔ 最佳答案
Recall volume of sphere = (4/3) *兀 * r ^ 3, Volume of spherical melon = (4/3) *兀 * (10)^ 3……..(1)
Recall volume of cylinder = 兀 * r ^ 2 * h,
Volume of cylinder melon core = 兀 * (10) ^ 2 * (12)……..(2)
Fraction of melon for human consumption
= (2) / (1)
= [兀 * (10) ^ 2 * (12)] / [(4/3) *兀 * (10)^ 3]
= [3 * 12] / [4 * 10]
= 9 / 10 (ans.)
Ans. The fraction of melon for human consumption is 9/10.
I have tried my best to help you.
2007-10-31 11:14 pm
Fraction of melon for human consumption
=[兀*(10)^2*(12)]/[(4/3)*兀*(10)^ 3]
=[3 * 12]/[4 * 10]
=9/10
=[兀*(10)^2*(12)]/[(4/3)*兀*(10)^ 3]
=[3 * 12]/[4 * 10]
=9/10
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https://hk.answers.yahoo.com/question/index?qid=20071027000051KK00594