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EMERGENCY! PLEASE HELP!!! A cylinder and cone has the same radius and height.  The volume of the cone is 675 m^3.  What is the volume of the cylinder?​

User Hu Xixi
by
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1 Answer

3 votes

Answer:

The volume of the cylinder is 2025 cubic meter.

Explanation:

Given that,

A cylinder and cone has the same radius and height.

The volume of the cone is
V_1=675\ m^3

We need to find the volume of the cylinder. The volume of cone and cylinder are given by :


V_1=(1)/(3)\pi r^2h .....(1)

For cylinder,


V_2=\pi r^2h .....(2)

Dividing (1) and (2) we get :


(V_1)/(V_2)=((1)/(3)\pi r^2h)/(\pi r^2h)

As the radius and height is same for both cone and cylinder.


(V_1)/(V_2)=(1)/(3)\\\\V_2=3V_1\\\\V_2=3* 675\\\\V_2=2025\ m^3

So, the volume of the cylinder is 2025 cubic meter.

User Paroxyzm
by
7.0k points
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