Answer :
Answer:
The equation which can be used is [tex]V=36\pi h.[/tex]
Step-by-step explanation:
Given:
In a museum there is a sculpture in the shape of a cylinder.
The cylinder has a diameter of 12 feet and a height of h feet.
V ,the volume of the cylinder.
Now, to find the equation for the volume of cylinder in cubic feet.
The diameter of cylinder = 12 feet.
Radius ( r ) = [tex]\frac{Diameter}{2}[/tex]
[tex]r=\frac{12}{2}[/tex]
[tex]r=6\ feet.[/tex]
The volume of cylinder = [tex]V.[/tex]
The height of cylinder = [tex]h.[/tex]
Now, putting the formula to find the volume:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi \times(6)^2\times h[/tex]
[tex]V=\pi \times 36\times h[/tex]
[tex]V=36\pi h\ cubic\ feet.[/tex]
Thus, the equation is [tex]V=36\pi h.[/tex]
Therefore, the equation which can be used is [tex]V=36\pi h.[/tex]