A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overflow?
No.
Volume of sphere: \(\frac{4}{3}\pi r^3\) r = 4cm
Volume of cone: \(\frac{1}{3}\pi r^2h\) r = 3cm h = 12cm
Plug in the numbers to see which is larger.