Answer:
1/3πr²h
Explanation:
The formulas for calculating the volume of a cylinder and a cone are:
Volume of cylinder = πr²h
Volume of cone = 1/3πr²h
where r is the radius and h is the height of the shape.
Given that both shapes have a radius of 2 units and a height of 4 units, we can substitute these values into the formulas to calculate the volumes.
For the cylinder:
Volume of cylinder = πr²h
= π(2²)(4)
= 16π cubic units
Therefore, the volume of the cylinder is 16π cubic units.
For the cone:
Volume of cone = 1/3πr²h
= 1/3π(2²)(4)
= 8/3π cubic units
Therefore, the volume of the cone is 8/3π cubic units, which is approximately 8.38 cubic units (rounded to two decimal places).