2 Answers

Donbeo · Answer 1 · 2018-11-25T06:40:34+0000

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

Lasonic · Answer 2 · 2018-11-26T12:54:53+0000

Answer: B .
$52\pi\text{ cm}^3$

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 :-

$V=(1)/(3)\pi r^2 h$

If they both have the same base and height , then we have

The volume of a cone will be given by :-

$V=(1)/(3)*\text{Volume of cylinder}\\\\\Rightarrow\ V=(1)/(3)*156\pi\\\\\Rightarrow\ V=52\pi\text{ cm}^3$

Hence, the volume of a cone with the same base and height as the cylinder =
$52\pi\text{ cm}^3$

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