Question

Find the surface area and volume of this cage;
There is a hemisphere of radius 22cm connected to a cylinder of radius 22cm and height 43cm
Diagram; http://imgur.com/dKMiL

Answer 1

Have you attempted it? I believe you're familiar with the formulas?

Answer 2

Yes I have indeed.. The volume I'm getting is: 87639.49cm^3 (using the formula: (4/3*pi*r^3)/2 for the hemisphere, and the formula pi*r^2*L for the cylinder section)

The surface area I'm getting is: 0.9m (using the formula: 2*pi*r2 for the hemisphere, and the formula 2*pi*r*L for the cylinder section) The last answer is in meters as that's as the question requires..

The only problem I'm having is that the volume seems ridiculously big.. The surface area also doesn't seem quite right either.. What do you think?

Answer 3

Nope. It's right. Thought it'll seem quite big, actually it's little than 1/10 of a metre cube. So I say, trust yourself. lol :)

Answer 4

Oh ok.. What about the volume?

Answer 5

Or do you mean the volume is actually less than 1/10m cubed?

Answer 6

Oh ok I see what you're saying.. I was just a bit confused with how big my answer seemed. I'm still not quite sure why its so big but thanks for confirming my answer :)

Answer 7

You're welcome :)