Answer: B . \(52\pi\text{ cm}^3\)
Step-by-step explanation:
We know that the volume of a cylinder is given by :-
\(V=\pi r^2 h\)
The volume of a cone is given by :-
\(V=\dfrac{1}{3}\pi r^2 h\)
If they both have the same base and height , then we have
The volume of a cone will be given by :-
\(V=\dfrac{1}{3}\times\text{Volume of cylinder}\\\\\Rightarrow\ V=\dfrac{1}{3}\times156\pi\\\\\Rightarrow\ V=52\pi\text{ cm}^3\)
Hence, the volume of a cone with the same base and height as the cylinder =\(52\pi\text{ cm}^3\)
