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Hi, I'm a little stumped by this question. I'm not entirely sure what I need to do but I've attempted it. Thank you for your help in advance.
There is a cone and a sphere.
The cone has a radius at its base of qmm and a height of hmm.
The radius of the sphere is 3qmm.
The volume of the cone and sphere is the same and I need to express h in the terms of q. What does that actually mean? Do I need to work out the volumes? Is this the right way to do it?
If I do, I get:
1/3 x π x q² x h = 4/3 x π x (3q)³
I can cancel out the π to get:
1/3 x q² x h = 4/3 x (3q)³
Then to simplify it:
1/3 x q² x h = 36q³
q² x h = 12q³
h = 12q
Is that right?
Nearly, but from 1/3 x q² x h = 36q³, you need to multiply both sides by 3, rather than dividing.
The final answer should be h = 108q.
Why did the vector cross the road?
It wanted to be normal.
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