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MadMax
14th June 2006, 09:00 PM
This is question 21 on the paper. Can you help me please

The radius of the base of a cone is x cm. and its height is hcm.
The radius of the sphere is 2x cm.
The volume of the cone and the volume of the sphere are equal.
Express h in terms of x.
Give your answer in its simplest form.

Unregistered
14th June 2006, 10:23 PM
volume of cone = pie xh/3
Volume of sphere = 4 pie (2x) / 3
= 32 pie x/3

volumes are equal so

pie xh/3 = 32 pie x/3

pie cancels and also the 3's and also divide by x

h=32x