Answer
The ratio of the volume of a cone to that of a cylinder is 1 to 3
Step-by-step explanation
The volume of a cone is given as
Volume of a cone = ⅓πr²h
The volume of a cylinder is given as
Volume of a cylinder = πr²h
The ratio of the volume of a cone to that of a cylinder is now
Volume of a cone : Volume of a cylinder
⅓πr²h : πr²h
Divide both sides by πr²h and we have
⅓ : 1
Multiply both sides by 3 and we have
1 : 3
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