Q:

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 which equation can be used to find v the volume of the cylinder in cubic feet

Accepted Solution

A:
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]