Answer: C. They are equal.
Step-by-step explanation:
For cone:
Height = 6 units
Radius = 5 units
The volume of cone is given by :-
[tex]V_{cone}=\frac{1}{3}\pi r^2 h\\\\\Rightarrow V_{cone}=\frac{1}{3}\pi(5)^2(6)\\\\\Rightarrow V_{cone}==50\pi\ units^3........................(1)[/tex]
For cylinder:
Height = 50 units
Radius = 1 units
The volume of cylinder is given by :-
[tex]V_{cylinder}=\pi r^2 h\\\\\Rightarrow V_{cylinder}=\pi(1)^2(50)\\\\\Rightarrow V_{cylinder}==50\pi\ units^3..............(2)[/tex]
From (1) and (2), we have
[tex]V_{cone}=V_{cylinder}[/tex]
Therefore, the given solids are equal in volume.
