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lara31 [8.8K]
3 years ago
11

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?

Mathematics
2 answers:
marta [7]3 years ago
8 0
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
yawa3891 [41]3 years ago
6 0

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

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