"Peeled Oranges sink, but whole oranges float"
[S1 Science - Density]
The following claim was made the other day, where peeled oranges sink but whole oranges float. Maths presenter Matt Parker walks with you through the scientific process of determining the density of the orange and its individual parts.
You could stand to learn a lot from his methods, that is indeed an accurate way of measuring the mass and volume of an orange. (Make sure to zero out the weight of the paper tower as well, for maximum accuracy! Not all paper towels were created equal!)
Hopefully, this video has inspired you somewhat. You can indeed do science experiments like these at home, as long as you know what you're doing. How much do you trust yourself?