A scoop of ice cream with a diameter of 6 cm is placed in an ice cream cone with a diameter of 5 cm and a height of 18 cm. Is the cone large enough to hold all of that ice cream if it melts?

Question

A scoop of ice cream with a diameter of 6 cm is placed in an ice cream cone with a diameter of 5 cm and a height of 18 cm. Is the cone large enough to hold all of that ice cream if it melts?Defend your answer mathematically. How do I solve this?

Answer 1

Hi Morgan,

Find the volume of cone - plug in the value of radius of the cone ( from given diameter) and given height

find the volume of sphere- a scoop of ice cream would be a ball with. If volume of the cone is greater than the volume of the sphere, then it will hold all the ice cream even if it melts.

hope this helps!