Answer :
The volume of the cylinder with the same radius and height as the cone is: 135 cm³.
What is the Volume of a Cylinder?
- Volume of a cone is given as, V = 1/3πr²h
- Volume of a cylinder = πr²h
Relating both volumes, we would have:
Volume of a cylinder = 3(volume of a cone), if they both have equal height and radius.
Given that a cone and a cylinder have the same radius (r) and the same height (h), and the cone has a volume of 45 cm³, therefore:
Volume of the Cylinder = 3(45)
Volume of the Cylinder = 135 cm³.
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