Answer:
C)The base of the cone and the top of the cylinder have the same area.
Step-by-step explanation:
Given : Cylinder and Cone with same height and radius .
Solution :
Since height and radius is same of both cone and cylinder.
Volume of cone is [tex]\frac{1}{3}\pi r^{2} h[/tex]
Volume of cylinder is [tex]\pi r^{2}h[/tex]
Thus the volume of cone is 1/3 rd the volume of cylinder having same radius and height.
Thus Option A and B is wrong
Option C )The base of the cone and the top of the cylinder have the same area.
Since radius is same
Base of cone = [tex]\pi r^{2}[/tex]
Base of cylinder = [tex]\pi r^{2}[/tex]
refer attached file .
Thus Option C is correct
Option D : The surface area of the cylinder and the surface area of the cone are equal.
Since height an radius is same
Thus the surface area of cone is [tex]\pi r^{2} + \pi r \sqrt{h^{2}+ r^{2} }[/tex]
Surface area of cylinder is [tex]2\pi rh +2\pi r^{3}[/tex]
Thus areas are not equal
Hence Option D is wrong .
