Question

The volume of a cylinder is 156pi cm^3. What is the volume of a cone with the same base and height as the cylinder?
A.39pi cm^3
B.52pi cm^3
C.78pi cm^3
D.156pi cm^3

Answer 1

Volume of a cylinder is =πr^2h
where Volume of a cone is 1/3* πr^2h

so its one third of a cylinder volume=1/3*156=52cm^3
Answer is B

Answer 2

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 =$52\pi\text{ cm}^3$