Answer:
The volume of the cylinder is 2025 cubic meter.
Step-by-step explanation:
Given that,
A cylinder and cone has the same radius and height.
The volume of the cone is [tex]V_1=675\ m^3[/tex]
We need to find the volume of the cylinder. The volume of cone and cylinder are given by :
[tex]V_1=\dfrac{1}{3}\pi r^2h[/tex] .....(1)
For cylinder,
[tex]V_2=\pi r^2h[/tex] .....(2)
Dividing (1) and (2) we get :
[tex]\dfrac{V_1}{V_2}=\dfrac{\dfrac{1}{3}\pi r^2h}{\pi r^2h}[/tex]
As the radius and height is same for both cone and cylinder.
[tex]\dfrac{V_1}{V_2}=\dfrac{1}{3}\\\\V_2=3V_1\\\\V_2=3\times 675\\\\V_2=2025\ m^3[/tex]
So, the volume of the cylinder is 2025 cubic meter.
