This is a 7-8-hr-combo tour of both Sugar Loaf and Corcovado (peak upon which stands the Christ statue), with a city-tour, a brief visit to Rio's Tijuca forest (largest urban jungle), and much more ...
One could have a snack by the waterfall in said forest, or in a restaurant converted from a former slave-dwelling.
Since you'd be paying by the hour, here you can design your own tour, assisted by my expert suggestions, if you so require.
It'd be a day to remember, I assure you.