SOLUTION: A cone and a cylinder have the same base area and height. The radius of the cylinder is 2 units and the height is also 2 units. A: What is the volume of the cone? Use the approx

Question 1062739: A cone and a cylinder have the same base area and height. The radius of the cylinder is 2 units and the height is also 2 units.
A: What is the volume of the cone? Use the approximation of 3.14 for π in your calculations and round to the nearest hundredth, if necessary.
B: Why?
Select only one answer each for parts A and B.
B: The volumes are the same
A: 75.36 square units
A: 25.12 square units
B: The volume of the cylinder is twice the volume of the cone.
B: The volume of the cone is 13 of the volume of the cylinder.
A: 24 square units
A: 8.37 square units
B: The volume of the cone is three times the volume of the cylinder.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
V cylinder is pi*r^2*h
V cone is (1/3) pi*r^2*h
For the cylinder it is pi*4*2=8 pi=25.12 sq units
For the cone it is (1/3) of that.
A 25.12
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B The cone is 1/3 the volume of the cylinder
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A. 8.37 sq units

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