U Calculus Question 02

2007-02-14 8:11 pm
4. (a) Set up the integral for finding the volume of a sphere of radius r (i) using discs, and (ii) using shells. Provide diagrams whenever necessary.
(b) Solve the integral you obtained in part (ii) above, thereby giving you the familiar formula for the volume of a sphere.

5. Repeat question 4, this time using a right circular cone with height h and radius r


thanks so much

回答 (1)

2007-02-14 11:17 pm
✔ 最佳答案
4a)

圖片參考:http://i117.photobucket.com/albums/o61/billy_hywung/Maths/Discshell1.jpg

【此圖乃本人自製圖片,未經本人同意勿擅自連結或使用】
4b)

圖片參考:http://i117.photobucket.com/albums/o61/billy_hywung/Maths/Discshell.jpg

5a)

圖片參考:http://i117.photobucket.com/albums/o61/billy_hywung/Maths/Discshell2.jpg

【此圖乃本人自製圖片,未經本人同意勿擅自連結或使用】
5b)

圖片參考:http://i117.photobucket.com/albums/o61/billy_hywung/Maths/Discshell3.jpg
參考: My Maths knowledge


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