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mrs_skeptik [129]
3 years ago
11

What can be concluded about a cylinder and a cone with the same height and radius measures? Check all that apply.

Mathematics
2 answers:
kvv77 [185]3 years ago
5 0
The Formula's for a cylinder is V=\pir^2h and the volume of a Cone is V=1/3\pir^2h. So you would know that the volume of a cone is 1/3 the volume of a cylinder.
zysi [14]3 years ago
3 0

Answer:

\text{volume of cone=}\frac{1}{3}\text{volume of cylinder}

Step-by-step explanation:

We have to choose the correct statement about the volume of cone and cylinder with same height and radius.

Let r and h be the radius and height of cylinder and cone

\text{Volume of cone=}\frac{1}{3}\pi r^2h ....(1)

\text{Volume of cylinder=}\pi r^2 h   ...... (2)

\frac{\text{Volume of cone}}{\text{Volume of cylinder}}=\frac{\frac{1}{3}\pi r^2h}{\pi r^2 h}

\frac{\text{Volume of cone}}{\text{Volume of cylinder}}=\frac{1}{3}

\text{volume of cone=}\frac{1}{3}\text{volume of cylinder}

Option C is correct

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