It is known that the volume of a cone = (1/3)兀r^2h where r is the base radius and h is the height; and the volume of sphere = (4/3)兀r^3 where r is the
radius.
A metal sphere of radius 5 cm is melted to form a cone of base radius 10 cm. Find the height of the cone.
Volume of the sphere = Volume of the cone
The height of the cone is _______ cm.
Mathematics Formulas
2008-07-15 11:23 pm
回答 (1)
2008-07-16 12:21 am
✔ 最佳答案
Let h cm be the height of the cone.
Volume of the sphere = Volume of the cone
(4/3)π(5)3 = (1/3)π(10)2h
4 x 125 = 100h
h = 5
Ans: The height of the cone is 5 cm.
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