(a) pi * r * l = 1/2 (4 * pi * r^2)

l = 2r

(b) I can't do

(c) I can't do

Thanks

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- Jul 8th 2007, 02:56 AMGAdamsCone and Hemisphere
(a) pi * r * l = 1/2 (4 * pi * r^2)

l = 2r

(b) I can't do

(c) I can't do

Thanks - Jul 8th 2007, 03:10 AMjanvdl
For b)

Use Pyhtagoras.

- Jul 8th 2007, 08:25 AMSoroban
Hello, GAdams!

Quote:

(b) Find the perpendicular height, , of the cone in terms of .

. .

Since , we have: .

Quote:

(c) Find the ratio of the volumes of the cone and the hemisphere.

The volume of a hemisphere is: .

The ratio is: .

- Jul 8th 2007, 08:44 AMGAdams
The volume of a cone is confusing me:

I can't see how you got from 1/3 * pi * sq.rt3r to sq.rt3/3 * pi * r^3 - Jul 8th 2007, 09:15 AMjanvdl
I tried googling for the formulas in a), but i struggled to find them. So i couldn't prove that formula. I think i struggled to find the hemisphere one.

So if then just plug that in like Soroban did.