you are designing a wok frying pan that will be shaped like a spherical bowl with handles.

you are designing a wok frying pan that will be shaped like a spherical bowl with handles. a bit of experimentation at home persuades you that you can get one that holds 3litres if you make it 9cm deep and give the sphere a radius of 16cm. to be sure you picture the wok as a solid revolution and calculate its volume with an integral. what volume do you really get (to the nearest cm3)?