1.the above figure shows a solid made up of a right circular cone , a cylinder and a hemisphere.The volumes of these three parts are equal.The total length of the solid is 22 cm.
a) Let the height of thhe cylinder be h,express the height of the cone and the radius of the hemisphere in terms of h.
b)hence ,find the value of h
c)find the total volume of the solid
d)find the total surface area of the solid
中三maths ...help,趕交功課
2007-04-15 4:02 am
回答 (1)
2007-04-15 8:13 am
✔ 最佳答案
a.)because of the volume of cone and hemosphere is sameso,
2/3 pie r^3 = 1/3 pie r^2 h
2/3r=1/3h
r=h/2
1/3 pie r^2 h=2/3 pie r^3
h=2r
b.) 4r=4r^2
r=1
c.)1/3 pie 1^2 (2) + pie 1^2 (2) +2/3 pie 1
=10/3 pie
d.)2 pie (1)(2) +pie(1)(2)+1/2(4 pie)
=8 pie
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