最佳回答取40分:幾條關於volume of cirxular cone既問題=)

2008-05-20 5:17 am
以下有兩條問題想請教下
圖片參考:http://i225.photobucket.com/albums/dd54/icon_2kf/00015.gif

第一條:
A piece of ice in form of an inverted right circular cone has radius of 4.5 cm and slant height 3 cm as shown below is resulted. Find the volume of the frustum correct to 3 significant figures.

圖片參考:http://i149.photobucket.com/albums/s72/zivsinglung/SSL10816.jpg

第二條:
Figure (a) below shows a solid right circular cone. O is the vertex and Pis a point on the circumference of the base. The area of the curved surface area 135πc㎡ and the radius of the base is 9 cm.
Figure (a):

圖片參考:http://i149.photobucket.com/albums/s72/zivsinglung/SSL10819.jpg


(a) Find the length of OP.
(b) Find the height of the cone.
Figure (b):

圖片參考:http://i149.photobucket.com/albums/s72/zivsinglung/SSL10820.jpg

(c) The cone in Figure (a) is cut into two portion by a plane parallel to its base. The upper portion is a cone of the base radius 3 cm. The lower portion is a frustum of height x cm.
(i) Find the value of x.
(ii)A right cylindrical hole of radius 3 cm is drilled through the frustum, see Figure (b). Find the volume of the solid remained in the frustum.
希望大家幫下手啦
圖片參考:http://i225.photobucket.com/albums/dd54/icon_2kf/00015.gif

回答 (1)

2008-05-20 6:41 am
✔ 最佳答案
Q1 要find 個cone 的ratio of height & radius
find smaller radius then vol of cone with radius4.5- vol of cone with smaller radius

Q2a OP (r)(pie)=135pie
OP=15
2b height(square)=15x15-9x9=144
height=12
2ci 3/9 = (12-x)/12
4=12-x
x=8
2cii 9(12)(9)pie/3- 3(3)(12-8)pie/3 -3(3)(8)pie=(324-12-78)pie=234pie cm2


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